A013711 - OEIS

A013711

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

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

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).

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)

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 *)

PROG

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

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

CROSSREFS

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

Sequence in context: A195802 A145249 A154023 * A300593 A281431 A109354

Adjacent sequences: A013708 A013709 A013710 * A013712 A013713 A013714

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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