A013711 a(n) = 6^(2*n+1).

6, 216, 7776, 279936, 10077696, 362797056, 13060694016, 470184984576, 16926659444736, 609359740010496, 21936950640377856, 789730223053602816, 28430288029929701376, 1023490369077469249536, 36845653286788892983296, 1326443518324400147398656, 47751966659678405306351616

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 (36).

Crossrefs

Cf. A000400, A004171, A005408, A009980, A013708.

Programs

Magma

[6^(2*n+1): n in [0..20]]; // Vincenzo Librandi, May 26 2011

Mathematica

lst={}; Do[AppendTo[lst,6^(2*n+1)],{n,0,5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 15 2009 *)
NestList[36#&,6,20] (* Harvey P. Dale, Oct 18 2012 *)

PARI

a(n)=6^(2*n+1) \\ Charles R Greathouse IV, Jul 10 2016

Formula

G.f.: 6/(1-36*x). - Philippe Deléham, Nov 24 2008

a(n) = 36*a(n-1), a(0)=6. - Vincenzo Librandi, May 26 2011

From Elmo R. Oliveira, Aug 26 2024: (Start)

E.g.f.: 6*exp(36*x).

a(n) = 6*A009980(n) = A004171(n)*A013708(n) = A000400(A005408(n)). (End)