A155484 a(n) = 3169^(2n + 1).

3169, 31824875809, 319603256629306849, 3209635200498468418800289, 32232957288753099502375449100129, 323701439782697615691675092490440590369

Offset

0,1

Comments

3169*a(n) is a square, hence also a(n)^5 + (3*a(n))^5 + (5*a(n))^5 + (7*a(n))^5 + (9*a(n))^5 = 25*3169*a(n)^5 is a square.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Index entries for linear recurrences with constant coefficients, signature (10042561).

Formula

G.f.: 3169/(1-10042561*x). - Bruno Berselli, Feb 27 2012

E.g.f.: 3169*exp(10042561*x). - Alejandro J. Becerra Jr., Mar 01 2021

Mathematica

3169^(2Range[0, 100]+1) (* Vincenzo Librandi, Feb 26 2012 *)

Crossrefs

Sequence in context: A309024 A217247 A020420 * A345599 A345858 A129472

Adjacent sequences: A155481 A155482 A155483 * A155485 A155486 A155487

Keyword

nonn,easy

Author

Vincenzo Librandi, Jan 23 2009

Extensions

Offset from 1 to 0 by Vincenzo Librandi, Feb 26 2012

Status

approved