A010701 -id:A010701 - cp's OEIS frontend

A154201 Decimal expansion of log_8 (12).

1, 1, 9, 4, 9, 8, 7, 5, 0, 0, 2, 4, 0, 3, 8, 5, 3, 9, 3, 8, 1, 7, 9, 1, 2, 9, 8, 1, 3, 1, 5, 9, 3, 8, 8, 3, 6, 2, 5, 3, 2, 7, 1, 4, 6, 9, 2, 3, 0, 8, 2, 7, 0, 2, 0, 1, 5, 1, 9, 1, 7, 5, 5, 1, 5, 1, 3, 6, 9, 9, 4, 0, 9, 2, 6, 4, 7, 8, 6, 1, 8, 7, 5, 0, 7, 4, 2, 6, 8, 2, 4, 9, 7, 2, 6, 9, 6, 0, 8

Offset: 1

N. J. A. Sloane, Oct 30 2009

			1.1949875002403853938179129813159388362532714692308270201519...

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for transcendental numbers

Cf. decimal expansion of log_8(m): A152956 (m=3), A153204 (m=5), A153493 (m=6), A153618 (m=7), A154010 (m=9), A154159 (m=10), A154180 (m=11), this sequence, A154309 (m=13), A154468 (m=14), A154574 (m=15), A154858 (m=17), A154927 (m=18), A155060 (m=19), A155502 (m=20), A155675 (m=21), A155741 (m=22), A155827 (m=23), A155975 (m=24).

SetDefaultRealField(RealField(100)); Log(12)/Log(8); // G. C. Greubel, Aug 31 2018

RealDigits[Log[8,12],10,120][[1]] (* Harvey P. Dale, Oct 17 2011 *)

default(realprecision, 100); log(12)/log(8) \\ G. C. Greubel, Aug 31 2018

Equals A010701 + A153493. - R. J. Mathar, Jan 07 2021

A132355 Numbers of the form 9h^2 + 2h, for h an integer.

Original entry on oeis.org

0, 7, 11, 32, 40, 75, 87, 136, 152, 215, 235, 312, 336, 427, 455, 560, 592, 711, 747, 880, 920, 1067, 1111, 1272, 1320, 1495, 1547, 1736, 1792, 1995, 2055, 2272, 2336, 2567, 2635, 2880, 2952, 3211, 3287, 3560, 3640, 3927, 4011, 4312, 4400, 4715, 4807

Offset: 1

Mohamed Bouhamida, Nov 08 2007

X values of solutions to the equation 9*X^3 + X^2 = Y^2.
The set of all m such that 9*m + 1 is a perfect square. - Gary Detlefs, Feb 22 2010
The concatenation of any term with 11..11 (1 repeated an even number of times, see A099814) belongs to the list. Example: 87 is a term, so also 8711, 871111, 87111111, 871111111111, ... are terms of this sequence. - Bruno Berselli, May 15 2017

Jason Kimberley, Table of n, a(n) for n = 1..2108
S. Cooper and M. D. Hirschhorn, Results of Hurwitz type for three squares. Discrete Math., Vol. 274, No. 1-3 (2004), pp. 9-24. See A(q).
Index entries for linear recurrences with constant coefficients, signature (1,2,-2,-1,1).

A205808 is the characteristic function.
Cf. A000217, A001082, A002378, A005563, A028347, A036666, A046092, A054000, A056220, A062717, A087475, A132209, A010701, A056020.
Numbers of the form 9*n^2+k*n, for integer n: A016766 (k=0), this sequence (k=2), A185039 (k=4), A057780 (k=6), A218864 (k=8). - Jason Kimberley, Nov 09 2012
For similar sequences of numbers m such that 9*m+k is a square, see list in A266956.

a:=func; [0] cat [a(n*m): m in [-1,1], n in [1..25]]; // Jason Kimberley, Nov 08 2012

readlib(issqr); for n from 0 to 3560 do if(issqr(9*n+1)) then print(n) fi od; # Gary Detlefs, Feb 22 2010
seq(n^2+n+5*ceil(n/2)^2,n=0..39); # Gary Detlefs, Feb 23 2010

f[n_]:=IntegerQ[Sqrt[1+9*n]]; Select[Range[0,8! ],f[ # ]&] (* Vladimir Joseph Stephan Orlovsky, Feb 19 2010 *)
Sort[Table[9n^2+2n,{n,-30,30}]] (* Harvey P. Dale, Dec 06 2013 *)

a(n)=n^2-n+5*(n\2)^2 \\ Charles R Greathouse IV, Sep 28 2015

a(2*k) = k*(9*k-2), a(2*k+1) = k*(9*k+2).
a(n) = n^2 - n + 5*floor(n/2)^2. - Gary Detlefs, Feb 23 2010
From R. J. Mathar, Mar 17 2010: (Start)
a(n) = +a(n-1) +2*a(n-2) -2*a(n-3) -a(n-4) +a(n-5).
G.f.: x^2*(7 + 4*x + 7*x^2)/((1 + x)^2*(1 - x)^3). (End)
a(n) = (2*n - 1 + (-1)^n)*(9*(2*n - 1) + (-1)^n)/16. - Luce ETIENNE, Sep 13 2014
Sum_{n>=2} 1/a(n) = 9/4 - cot(2*Pi/9)*Pi/2. - Amiram Eldar, Mar 15 2022

Simpler definition and minor edits from N. J. A. Sloane, Feb 03 2012

Since this is a list, offset changed to 1 and formulas translated by Jason Kimberley, Nov 18 2012

A164346 a(n) = 3 * 4^n.

Original entry on oeis.org

3, 12, 48, 192, 768, 3072, 12288, 49152, 196608, 786432, 3145728, 12582912, 50331648, 201326592, 805306368, 3221225472, 12884901888, 51539607552, 206158430208, 824633720832, 3298534883328, 13194139533312, 52776558133248, 211106232532992, 844424930131968

Offset: 0

Klaus Brockhaus, Aug 13 2009

Binomial transform of A000244 without initial 1.
Second binomial transform of A007283.
Third binomial transform of A010701.
Inverse binomial transform of A005053 without initial 1.
First differences of A024036. - Omar E. Pol, Feb 16 2013

Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (4).

Cf. A000302 (powers of 4), A000244 (powers of 3), A007283 (3*2^n), A010701 (all 3's), A005053, A002001, A096045, A140660 (3*4^n+1), A002023 (6*4^n), A002063(9*4^n), A056120, A084509.

Magma
```
[ 3*4^n: n in [0..22] ];
```

3 4^Range[0,30]  (* Harvey P. Dale, Mar 11 2011 *)

A164346(n)=3*4^n \\ M. F. Hasler, Jul 28 2015

def A164346(n): return 3<<(n<<1) # Chai Wah Wu, Aug 30 2024

a(n) = 4*a(n-1) for n > 1; a(0) = 3.
G.f.: 3/(1-4*x).
a(n) = A002001(n+1). a(n) = A096045(n)+2. a(n) = A140660(n)-1.
a(n) = A002023(n)/2. a(n) = A002063(n)/3. a(n) = A056120(n+3)/9.
Apparently a(n) = A084509(n+3)/2.
a(n) = A110594(n+1), n>1. - R. J. Mathar, Aug 17 2009
a(n) = 3*A000302(n). - Omar E. Pol, Feb 18 2013
a(n) = A000079(2*n) + A000079(2*n+1). - M. F. Hasler, Jul 28 2015
E.g.f.: 3*exp(4*x). - G. C. Greubel, Sep 15 2017

A110591 Number of digits in base-4 representation of n.

Original entry on oeis.org

1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4

Offset: 0

Jonathan Vos Post, Jul 29 2005

Number of digits in A007090(n).

In terms of the repetition convolution operator #, where (sequence A) # (sequence B) = the sequence consisting of A(n) copies of B(n), this sequence is the repetition convolution A110594 # n. Over the set of positive infinite integer sequences, # gives a nonassociative noncommutative groupoid (magma) with a left identity (A000012) but no right identity, where the left identity is also a right nullifier and idempotent. For any positive integer constant c, the sequence c*A000012 = (c,c,c,c,...) is also a right nullifier; for c = 1, this is A000012; for c = 3 this is A010701.

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Cf. A000012, A007090, A010701, A049804, A081604, A110594.

import Data.List (unfoldr)
a110591 0 = 1
a110591 n = length $
   unfoldr (\x -> if x == 0 then Nothing else Just (x, x `div` 4)) n
-- Reinhard Zumkeller, Apr 22 2011

A110592 := proc(n)
    if n = 0 then
        1;
    else
        1+floor(log[4](n)) ;
    end if;
end proc:
seq(A110592(n),n=0..50) ; # R. J. Mathar, Sep 02 2020

a[n_] := If[n == 0, 1, Floor[Log[4, n]] + 1];
a /@ Range[0, 100] (* Jean-François Alcover, Nov 24 2020 *)

G.f.: 1 + (1/(1 - x))*Sum_{k>=0} x^(4^k). - Ilya Gutkovskiy, Jan 08 2017

a(n) = floor(log_4(n)) + 1 for n >= 1. - Petros Hadjicostas, Dec 12 2019

A269551 Expansion of (3x^2 + 258x - 5)/(x^3 - 99x^2 + 99x - 1).

Original entry on oeis.org

5, 237, 22965, 2250077, 220484325, 21605213517, 2117090440085, 207453257914557, 20328302185186245, 1991966160890337197, 195192355465067858805, 19126858869415759825437, 1874236976847279395033765, 183656096872163964953483277, 17996423256495221286046327125, 1763465823039659522067586574717

Offset: 0

Michel Marcus, Feb 29 2016

Mc Laughlin (2010) gives an identity relating ten sequences, denoted a_k, b_k, ..., f_k, p_k, q_k, r_k, s_k. This is the sequence e_k.

Seiichi Manyama, Table of n, a(n) for n = 0..500
J. Mc Laughlin, An identity motivated by an amazing identity of Ramanujan, Fib. Q., 48 (No. 1, 2010), 34-38.
Index entries for linear recurrences with constant coefficients, signature (99,-99,1).

Cf. A010701, A261004, A269548, A269549, A269550, A269552, A269553, A269554, A269555, A269556.

m:=20; R:=PowerSeriesRing(Integers(), m); Coefficients(R!((3*x^2+258*x-5)/(x^3-99*x^2+99*x-1))); // Bruno Berselli, Mar 01 2016

CoefficientList[Series[(3 x^2 + 258 x - 5)/(x^3 - 99 x^2 + 99 x - 1), {x, 0, 20}], x] (* or *) Table[FullSimplify[8/3 + (-(3 Sqrt[6] - 7)/(2 Sqrt[6] + 5)^(2 n) + (3 Sqrt[6] + 7) (2 Sqrt[6] + 5)^(2 n))/6], {n, 0, 20}] (* Bruno Berselli, Mar 01 2016 *)

Vec((3*x^2 + 258*x - 5)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20))

gf = (3*x^2+258*x-5)/(x^3-99*x^2+99*x-1)
print(taylor(gf, x, 0, 20).list()) # Bruno Berselli, Mar 01 2016

G.f.: (3*x^2 + 258*x - 5)/(x^3 - 99*x^2 + 99*x - 1).

a(n) = 8/3 + (-(3*sqrt(6) - 7)/(2*sqrt(6) + 5)^(2*n) + (3*sqrt(6) + 7)*(2*sqrt(6) + 5)^(2*n))/6. - Bruno Berselli, Mar 01 2016

A110592 Number of digits in base-5 representation of n. String length of A007091.

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3

Offset: 0

Jonathan Vos Post, Jul 29 2005

In terms of the repetition convolution operator #, where (sequence A) # (sequence B) = the sequence consisting of A(n) copies of B(n), then this sequence is the repetition convolution A110595 # n. Over the set of positive infinite integer sequences, # gives a nonassociative noncommutative groupoid (magma) with a left identity (A000012) but no right identity, where the left identity is also a right nullifier and idempotent. For any positive integer constant c, the sequence c*A000012 = (c,c,c,c,...) is also a right nullifier; for c = 1, this is A000012; for c = 3 this is A010701.

G. C. Greubel, Table of n, a(n) for n = 0..5000

Cf. A007091, A081604, A110590, A110595, A330358.

Join[{1},IntegerLength[Range[110],5]] (* Harvey P. Dale, Aug 03 2016 *)

G.f.: 1 + (1/(1 - x))*Sum_{k>=0} x^(5^k). - Ilya Gutkovskiy, Jan 08 2017

a(n) = floor(log_5(n)) + 1 for n >= 1. - Petros Hadjicostas, Dec 12 2019

A169609 Period 3: repeat [1, 3, 3].

Original entry on oeis.org

1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3, 1, 3, 3

Offset: 0

Klaus Brockhaus, Dec 03 2009

Interleaving of A000012, A010701 and A010701.
Also continued fraction expansion of (5+sqrt(65))/10 = 1.3062257748....
Also decimal expansion of 133/999.
a(n) = A144437(n) for n > 0.
Unsigned version of A154595.
Binomial transform of A168615.
Inverse binomial transform of A168673.
Essentially first differences of A047347.

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

Cf. A000012 (all 1's sequence), A010701 (all 3's sequence), A144437 (repeat 3, 3, 1), A154595 (repeat 1, 3, 3, -1, -3, -3), A168615, A168673, A047347 (congruent to {0, 1, 4} mod 7), A010684 (repeat 1, 3).
Cf. A171419 (decimal expansion of (5+sqrt(65))/10).
Cf. A146094.

[ n mod 3 eq 0 select 1 else 3: n in [0..104] ];

&cat [[1, 3, 3]^^30]; // Wesley Ivan Hurt, Jul 02 2016

seq(op([1, 3, 3]), n=0..50); # Wesley Ivan Hurt, Jul 02 2016

PadRight[{},120,{1,3,3}] (* or *) LinearRecurrence[{0,0,1},{1,3,3},120] (* Harvey P. Dale, Apr 29 2015 *)

a(n) = a(n-3) for n > 2, with a(0) = 1, a(1) = 3, a(2) = 3.
G.f.: (1+3*x+3*x^2)/(1-x^3).
a(n) = (7/3)+(2/3)*cos((2*Pi/3)*(n+1))-(2*sqrt(3)/3)*sin((2*Pi/3)*(n+1)). [Richard Choulet, Mar 15 2010]
a(n) = a(n-a(n-2)) for n>=2. Example: a(5) = a(5-a(3)) = a(5-a(3-a(1))) = a(5-a(3-3)) = a(5-a(0)) = a(5-1) = a(4) = a(4-a(2)) = a(4-3) = a(1) = 3. [Richard Choulet, Mar 15 2010; edited by Klaus Brockhaus, Nov 21 2010]
a(n) = 1 + 2*sgn(n mod 3). - Wesley Ivan Hurt, Jul 02 2016
a(n) = 3/gcd(n,3). - Wesley Ivan Hurt, Jul 11 2016

Keywords cofr, cons added by Klaus Brockhaus, Apr 20 2010

Minor edits, crossref added by Klaus Brockhaus, May 03 2010

A261004 Expansion of (-3-164x-x^2)/(1-99x+99*x^2-x^3).

Original entry on oeis.org

-3, -461, -45343, -4443321, -435400283, -42664784581, -4180713488823, -409667257120241, -40143210484294963, -3933624960203786301, -385455102889486762703, -37770666458209498958761, -3701139857801641411196043, -362673935398102648798253621, -35538344529156257940817658983

Offset: 0

N. J. A. Sloane, Aug 12 2015

Mc Laughlin (2010) gives an identity relating ten sequences, denoted a_k, b_k, ..., f_k, p_k, q_k, r_k, s_k. This is the sequence a_k.

Seiichi Manyama, Table of n, a(n) for n = 0..500
Kwang-Wu Chen, Extensions of an amazing identity of Ramanujan, Fib. Q., 50 (2012), 227-230.
J. Mc Laughlin, An identity motivated by an amazing identity of Ramanujan, Fib. Q., 48 (No. 1, 2010), 34-38.
Index entries for linear recurrences with constant coefficients, signature (99, -99, 1).

Cf. A051028, A051029, A051030.

Cf. A010701, A269548, A269549, A269550, A269551, A269552, A269553, A269554, A269555, A269556.

LinearRecurrence[{99,-99,1},{-3,-461,-45343},30] (* Harvey P. Dale, Dec 02 2017 *)

Vec((-3-164*x-x^2)/(1-99*x+99*x^2-x^3) + O(x^20)) \\ Michel Marcus, Feb 29 2016

A269548 Expansion of (-7x^2 + 134x + 1)/(x^3 - 99x^2 + 99x - 1).

Original entry on oeis.org

-1, -233, -22961, -2250073, -220484321, -21605213513, -2117090440081, -207453257914553, -20328302185186241, -1991966160890337193, -195192355465067858801, -19126858869415759825433, -1874236976847279395033761, -183656096872163964953483273, -17996423256495221286046327121

Offset: 0

Michel Marcus, Feb 29 2016

Mc Laughlin (2010) gives an identity relating ten sequences, denoted a_k, b_k, ..., f_k, p_k, q_k, r_k, s_k. This is the sequence b_k.

Seiichi Manyama, Table of n, a(n) for n = 0..500
J. Mc Laughlin, An identity motivated by an amazing identity of Ramanujan, Fib. Q., 48 (No. 1, 2010), 34-38.
Index entries for linear recurrences with constant coefficients, signature (99,-99,1).

Cf. A010701, A261004, A269549, A269550, A269551, A269552, A269553, A269554, A269555, A269556.

m:=20; R:=PowerSeriesRing(Integers(), m); Coefficients(R!((-7*x^2+134*x+1)/(x^3-99*x^2+99*x-1))); // Bruno Berselli, Mar 01 2016

CoefficientList[Series[(-7 x^2 + 134 x + 1)/(x^3 - 99 x^2 + 99 x - 1), {x, 0, 20}], x] (* or *) Table[FullSimplify[4/3 + ((3 Sqrt[6] - 7)/(2 Sqrt[6] + 5)^(2 n) - (3 Sqrt[6] + 7) (2 Sqrt[6] + 5)^(2 n))/6], {n, 0, 20}] (* Bruno Berselli, Mar 01 2016 *)

Vec((-7*x^2 + 134*x + 1)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20))

gf = (-7*x^2+134*x+1)/(x^3-99*x^2+99*x-1)
print(taylor(gf, x, 0, 20).list()) # Bruno Berselli, Mar 01 2016

G.f.: (-7*x^2 + 134*x + 1)/(x^3 - 99*x^2 + 99*x - 1).

a(n) = 4/3 + ((3*sqrt(6) - 7)/(2*sqrt(6) + 5)^(2*n) - (3*sqrt(6) + 7)*(2*sqrt(6) + 5)^(2*n))/6. - Bruno Berselli, Mar 01 2016

A269549 Expansion of (-x^2 + 298x - 1)/(x^3 - 99x^2 + 99*x - 1).

Original entry on oeis.org

1, -199, -19799, -1940399, -190139599, -18631740599, -1825720439399, -178901971320799, -17530567468999199, -1717816709990600999, -168328507011609898999, -16494475870427779501199, -1616290306794910781218799, -158379955590030828779941399, -15519619357516226309653038599

Offset: 0

Michel Marcus, Feb 29 2016

Mc Laughlin (2010) gives an identity relating ten sequences, denoted a_k, b_k, ..., f_k, p_k, q_k, r_k, s_k. This is the sequence c_k.

Seiichi Manyama, Table of n, a(n) for n = 0..500
J. Mc Laughlin, An identity motivated by an amazing identity of Ramanujan, Fib. Q., 48 (No. 1, 2010), 34-38.
Index entries for linear recurrences with constant coefficients, signature (99,-99,1).

Cf. A010701, A261004, A269548, A269550, A269551, A269552, A269553, A269554, A269555, A269556.

m:=20; R:=PowerSeriesRing(Integers(), m); Coefficients(R!((-x^2+298*x-1)/(x^3-99*x^2+99*x-1))); // Bruno Berselli, Mar 01 2016

CoefficientList[Series[(-x^2 + 298 x - 1)/(x^3 - 99 x^2 + 99 x - 1), {x, 0, 20}], x] (* or *) Table[FullSimplify[37/12 + ((2 Sqrt[6] - 5)/(2 Sqrt[6] + 5)^(2 n) - (2 Sqrt[6] + 5) (2 Sqrt[6] + 5)^(2 n)) 5/24], {n, 0, 20}] (* Bruno Berselli, Mar 01 2016 *)

Vec((-x^2 + 298*x - 1)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20))

gf = (-x^2+298*x-1)/(x^3-99*x^2+99*x-1)
print(taylor(gf, x, 0, 20).list()) # Bruno Berselli, Mar 01 2016

G.f.: (-x^2 + 298*x - 1)/(x^3 - 99*x^2 + 99*x - 1).

a(n) = 37/12 + ((2*sqrt(6) - 5)/(2*sqrt(6) + 5)^(2*n) - (2*sqrt(6) + 5)*(2*sqrt(6) + 5)^(2*n))*5/24. - Bruno Berselli, Mar 01 2016

cp's OEIS Frontend

A154201 Decimal expansion of log_8 (12).

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Formula

A132355 Numbers of the form 9*h^2 + 2*h, for h an integer.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Maple

Mathematica

PARI

Formula

Extensions

A164346 a(n) = 3 * 4^n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Python

Formula

A110591 Number of digits in base-4 representation of n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Haskell

Maple

Mathematica

Formula

A269551 Expansion of (3*x^2 + 258*x - 5)/(x^3 - 99*x^2 + 99*x - 1).

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Sage

Formula

A110592 Number of digits in base-5 representation of n. String length of A007091.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

Formula

A169609 Period 3: repeat [1, 3, 3].

Views

Author

Keywords

Comments

A132355 Numbers of the form 9h^2 + 2h, for h an integer.

A269551 Expansion of (3x^2 + 258x - 5)/(x^3 - 99x^2 + 99x - 1).

A261004 Expansion of (-3-164x-x^2)/(1-99x+99*x^2-x^3).

A269548 Expansion of (-7x^2 + 134x + 1)/(x^3 - 99x^2 + 99x - 1).

A269549 Expansion of (-x^2 + 298x - 1)/(x^3 - 99x^2 + 99*x - 1).