A021088 -id:A021088 - cp's OEIS frontend

A262715 a(n) = 29^(2*n+1).

29, 24389, 20511149, 17249876309, 14507145975869, 12200509765705829, 10260628712958602189, 8629188747598184440949, 7257147736730073114838109, 6103261246589991489578849669, 5132842708382182842735812571629, 4316720717749415770740818372739989

Offset: 0

Vincenzo Librandi, Oct 02 2015

29*a(n) is a square.

G. C. Greubel, Table of n, a(n) for n = 0..250
Index entries for linear recurrences with constant coefficients, signature (841).

Second bisection of A009973 (powers of 29).

Cf. similar sequences of the form p^(2*n+1), with p prime: A004171 (p=2), A013708 (p=3), A013710 (p=5), A013712 (p=7), A013716 (p=11), A013718 (p=13), A013722 (p=17), A013724 (p=19), A013728 (p=23), this sequence (p=29), A262716 (p=31), A262786 (p=37), A262787 (p=41), A155477 (p=43).

Magma
```
[29^(2*n+1): n in [0..15]];
```

29^Range[1, 30, 2]
NestList[841#&,29,20] (* Harvey P. Dale, May 16 2025 *)

vector(20, n, n--; 29^(2*n+1)) \\ Altug Alkan, Oct 02 2015

G.f.: 29/(1 - 841*x).
a(n) = 841*a(n-1).
Sum_{i>=0} (-1)^i/a(i) = 29*A021846; Sum_{i>=0} 1/a(i) = 2.9*A021088. [Bruno Berselli, Oct 06 2015]

A021529 Decimal expansion of 1/525.

Original entry on oeis.org

0, 0, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1, 9, 0, 4, 7, 6, 1

Offset: 0

N. J. A. Sloane

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

PadRight[{0,0},100,{7,6,1,9,0,4}] (* or *) Join[ {0,0},RealDigits[ 1/525,10,100][[1]]] (* Harvey P. Dale, Jan 29 2013 *)

Equals A021088 minus 1/100. [From R. J. Mathar, Oct 25 2008]

cp's OEIS Frontend

A262715 a(n) = 29^(2*n+1).

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