A155477 a(n) = 43^(2*n+1).

43, 79507, 147008443, 271818611107, 502592611936843, 929293739471222707, 1718264124282290785243, 3177070365797955661914307, 5874403106360420018879553643, 10861771343660416614908294685907, 20083415214428110320965436874242043

Offset: 0

Author

Vincenzo Librandi, Jan 23 2009

Keywords

• nonn
• easy

Comments

43*a(n) is a square, hence also a(n)^3+(6*a(n))^3+(11*a(n))^3 = 36*43*a(n)^3 is a square.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..100
• Index entries for linear recurrences with constant coefficients, signature (1849).

Crossrefs

Bisection of A009987 (powers of 43).

Programs

Magma

[43^(2*n+1): n in [0..15]]; // Vincenzo Librandi, Oct 01 2015

Mathematica

43^(2 Range[0, 11] + 1) (* Harvey P. Dale, Oct 03 2011 *)
Table[43^(2 n + 1), {n, 0, 20}] (* Vincenzo Librandi, Oct 01 2015 *)

PARI

vector(20, n, n--; 43^(2*n+1)) \\ Altug Alkan, Oct 01 2015

Formula

G.f.: 43/(1-1849*x). - Bruno Berselli, Feb 26 2012

Extensions

More terms from Harvey P. Dale, Oct 03 2011

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