A013716 a(n) = 11^(2*n + 1).

11, 1331, 161051, 19487171, 2357947691, 285311670611, 34522712143931, 4177248169415651, 505447028499293771, 61159090448414546291, 7400249944258160101211, 895430243255237372246531

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 (121).

Crossrefs

Bisection of A001020 (11^n).

Cf. A013708-A013715, A013717-A013729.

Programs

Magma

[11^(2*n+1): n in [0..15]]; // Vincenzo Librandi, Jun 26 2011

Maple

seq(11^(2*n+1),n=0..11); # Nathaniel Johnston, Jun 25 2011

Mathematica

11^(2*Range[0,20]+1) (* or *) NestList[121#&,11,20] (* Harvey P. Dale, Jun 21 2024 *)

PARI

a(n)=11^(2*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 25 2008: (Start)

a(n) = 121*a(n-1), a(0)=11.

G.f.: 11/(1-121*x). (End)