A013737 a(n) = 5^(3*n + 2).

25, 3125, 390625, 48828125, 6103515625, 762939453125, 95367431640625, 11920928955078125, 1490116119384765625, 186264514923095703125, 23283064365386962890625, 2910383045673370361328125, 363797880709171295166015625, 45474735088646411895751953125, 5684341886080801486968994140625

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• 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).

Crossrefs

Cf. A000351, A013736, A016789.

Programs

Magma

[5^(3*n+2): n in [0..20]]; // Vincenzo Librandi, May 25 2011

Maple

seq(5^(3*n+2),n=0..12); # Nathaniel Johnston, Jun 26 2011

PARI

a(n)=5^(3*n+2) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 25 2008: (Start)

a(n) = 125*a(n-1); a(0)=25.

G.f.: 25/(1-125*x). (End)

From Elmo R. Oliveira, Jul 07 2025: (Start)

E.g.f.: 25*exp(125*x).

a(n) = 5*A013736(n) = A000351(A016789(n)). (End)