A013737 -id:A013737 - cp's OEIS frontend

A013733 a(n) = 3^(3n+2).

9, 243, 6561, 177147, 4782969, 129140163, 3486784401, 94143178827, 2541865828329, 68630377364883, 1853020188851841, 50031545098999707, 1350851717672992089, 36472996377170786403, 984770902183611232881, 26588814358957503287787

Offset: 0

N. J. A. Sloane

Additive digital root of a(n) is equal to 9. - Miquel Cerda, Oct 31 2016

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (27).

Cf. A013731, A013732, A013735, A013737.

[3^(3*n+2): n in [0..25]]; // Vincenzo Librandi, May 25 2011

seq(3^(3*n+2),n=0..15); # Nathaniel Johnston, Jun 26 2011

Table[3^(3n+2), {n,0,100}] (* Wesley Ivan Hurt, Oct 24 2013 *)

a(n)=3^(3*n+2) \\ Charles R Greathouse IV, Jul 11 2016

a(n)=27*a(n-1), n>0 ; a(0)=9 . G.f.: 9/(1-27*x). - Philippe Deléham, Nov 25 2008

A013747 a(n) = 10^(3*n + 2).

Original entry on oeis.org

100, 100000, 100000000, 100000000000, 100000000000000, 100000000000000000, 100000000000000000000, 100000000000000000000000, 100000000000000000000000000, 100000000000000000000000000000, 100000000000000000000000000000000, 100000000000000000000000000000000000

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..100
Tanya Khovanova, Recursive Sequences.
Index entries for linear recurrences with constant coefficients, signature (1000).

Subsequence of A011557 (10^n).

Cf. A013731, A013737, A013746, A016789.

[10^(3*n+2): n in [0..15]]; // Vincenzo Librandi, Jun 26 2011

a(n)=10^(3*n+2) \\ Charles R Greathouse IV, Jul 10 2016

From Philippe Deléham, Nov 30 2008: (Start)
a(n) = 1000*a(n-1); a(0)=100.
G.f.: 100/(1-1000*x).
a(n) = 10*A013746(n). (End)
From Elmo R. Oliveira, Jul 07 2025: (Start)
E.g.f.: 100*exp(1000*x).
a(n) = A013731(n)*A013737(n) = A011557(A016789(n)). (End)

A097547 a(n) = n^(2^n).

Original entry on oeis.org

0, 1, 16, 6561, 4294967296, 23283064365386962890625, 63340286662973277706162286946811886609896461828096, 1487815647197611695910312681741273570332356717154798949898498305086387315423300999654757561928633305897036801

Offset: 0

Yasutoshi Kohmoto, Aug 28 2004

nonn

Number of mappings from 2^X to X where X is an n-set.

Vincenzo Librandi, Table of n, a(n) for n = 0..9 (shortened by _N. J. A. Sloane_, Jan 13 2019)
Yasutoshi Kohmoto, The Other Side of Mathematics [broken link?]
Yasutoshi Kohmoto, The Other Side of Mathematics [via Internet Archive Wayback-machine]

Cf. A000290, A020955, A099129, A216992.

[n^(2^n): n in [0..12]]; // Vincenzo Librandi, May 25 2011

a:= n-> (t-> (t@@n)(n))(j-> j^2):
seq(a(n), n=0..7);  # Alois P. Heinz, Sep 29 2023

Table[n^2^n,{n,0,7}] (* Vladimir Joseph Stephan Orlovsky, Mar 01 2010 *)

a(n)=n^(1<Charles R Greathouse IV, May 25 2011

From R. J. Mathar, Apr 23 2007: (Start)
a(6) = A080174(6) - 1.
a(5) = A013737(10) = A013835(6).
a(4) = A000079(32) = A002489(4) = A000215(5)-1.
(End)
Sum_{n>=1} 1/a(n) = A216992. - Amiram Eldar, Nov 19 2020

A013736 a(n) = 5^(3*n + 1).

Original entry on oeis.org

5, 625, 78125, 9765625, 1220703125, 152587890625, 19073486328125, 2384185791015625, 298023223876953125, 37252902984619140625, 4656612873077392578125, 582076609134674072265625, 72759576141834259033203125

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..100
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (125).

Cf. A013737.

[5^(3*n+1): n in [0..20]]; // Vincenzo Librandi, May 25 2011

seq(5^(3*n+1),n=0..12); # Nathaniel Johnston, Jun 26 2011

5^(3Range[0,15]+1) (* or *) NestList[125 #&,5,15] (* Harvey P. Dale, Jun 25 2011 *)

a(n)=5^(3*n+1) \\ Charles R Greathouse IV, Jul 11 2016

From Philippe Deléham, Nov 25 2008: (Start)
a(n) = 125*a(n-1); a(0)=5.
G.f.: 5/(1-125*x). (End)

cp's OEIS Frontend

A013733 a(n) = 3^(3n+2).

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A013747 a(n) = 10^(3*n + 2).

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A097547 a(n) = n^(2^n).

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A013736 a(n) = 5^(3*n + 1).

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Magma

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Mathematica

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