A013744 a(n) = 9^(3*n + 1).

9, 6561, 4782969, 3486784401, 2541865828329, 1853020188851841, 1350851717672992089, 984770902183611232881, 717897987691852588770249, 523347633027360537213511521, 381520424476945831628649898809

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 (729).

Formula

From Philippe Deléham, Nov 30 2008: (Start)

a(n) = 729*a(n-1); a(0)=9.

G.f.: 9/(1-729*x). (End)

Mathematica

NestList[729#&, 9, 10] (* Harvey P. Dale, Feb 11 2018 *)

Prog

(Magma) [9^(3*n+1): n in [0..20]]; // Vincenzo Librandi, Jun 26 2011
(PARI) a(n)=9^(3*n+1) \\ Charles R Greathouse IV, Jul 10 2016

Crossrefs

Subsequence of A001019 (9^n).

Sequence in context: A125542 A349876 A349896 * A060761 A053975 A191961

Adjacent sequences: A013741 A013742 A013743 * A013745 A013746 A013747

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved