A013782 a(n) = 5^(4*n + 1).

5, 3125, 1953125, 1220703125, 762939453125, 476837158203125, 298023223876953125, 186264514923095703125, 116415321826934814453125, 72759576141834259033203125, 45474735088646411895751953125

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Tanya Khovanova, Recursive Sequences
• Index entries for linear recurrences with constant coefficients, signature (625).

Crossrefs

Subsequence of A000351.

Programs

Magma

[5^(4*n+1): n in [0..15]]; // Vincenzo Librandi, Jun 28 2011

Mathematica

5^(4*Range[0,10]+1) (* or *) NestList[625#&,5,10] (* Harvey P. Dale, Jul 12 2012 *)

PARI

a(n)=5^(4*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 28 2008: (Start)

a(n) = 625*a(n-1); a(0)=5.

G.f.: 5/(1-625*x). (End)