A131471 a(n) = n^5+n.

0, 2, 34, 246, 1028, 3130, 7782, 16814, 32776, 59058, 100010, 161062, 248844, 371306, 537838, 759390, 1048592, 1419874, 1889586, 2476118, 3200020, 4084122, 5153654, 6436366, 7962648, 9765650, 11881402, 14348934, 17210396, 20511178, 24300030, 28629182, 33554464

Offset: 0

Author

Mohammad K. Azarian, Jul 27 2007

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Crossrefs

Cf. A002378, A007531, A034262, A091940, A058895, A059826.

Cf. A271208, A271209.

Programs

Magma

[n^5+n: n in [0..30]]; // Vincenzo Librandi, Oct 01 2011

Mathematica

Table[n^5 + n, {n, 0, 50}] (* Paolo Xausa, Nov 03 2024 *)

PARI

a(n) = n^5+n; \\ Michel Marcus, Apr 02 2016

Formula

G.f.: 2*x*(1+11*x+36*x^2+11*x^3+x^4)/(-1+x)^6. - R. J. Mathar, Nov 14 2007

a(n) = A271208(n) + 1 = A271209(n) - 1. - Paolo Xausa, Nov 03 2024