A013722 a(n) = 17^(2*n + 1).

17, 4913, 1419857, 410338673, 118587876497, 34271896307633, 9904578032905937, 2862423051509815793, 827240261886336764177, 239072435685151324847153, 69091933913008732880827217

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Sum_{n>=0} 1/a(n) = 17/288. - Jaume Oliver Lafont, Feb 04 2009

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 (289).

Crossrefs

Bisection of A001026 (17^n).

Cf. A013708-A013721, A013723-A013729.

Programs

Magma

[17^(2*n+1): n in [0..15]]; // Vincenzo Librandi, Jun 26 2011

Maple

seq(17^(2*n+1),n=0..10); # Nathaniel Johnston, Jun 25 2011

Mathematica

17^(2*Range[0,10]+1) (* or *) NestList[289#&,17,10] (* Harvey P. Dale, Aug 15 2012 *)

PARI

a(n)=17^(2*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 28 2008: (Start)

a(n) = 289*a(n-1), a(0)=17.

G.f.: 17/(1-289*x). (End)