A271208 a(n) = n^5 + n - 1.

-1, 1, 33, 245, 1027, 3129, 7781, 16813, 32775, 59057, 100009, 161061, 248843, 371305, 537837, 759389, 1048591, 1419873, 1889585, 2476117, 3200019, 4084121, 5153653, 6436365, 7962647, 9765649, 11881401, 14348933, 17210395, 20511177, 24300029, 28629181, 33554463

Offset

0,3

Links

Table of n, a(n) for n=0..32.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

a(n) = A271209(n) - 2.

From Wesley Ivan Hurt, Apr 02 2016: (Start)

G.f.: (-1 + 7*x + 12*x^2 + 82*x^3 + 17*x^4 + 3*x^5) / (x-1)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5)- a (n-6), n > 5. (End)

a(n) = A131471(n) - 1. - Omar E. Pol, Apr 05 2016

Maple

A271208:=n->n^5 + n - 1: seq(A271208(n), n=0..40); # Wesley Ivan Hurt, Apr 02 2016

Mathematica

Table[n^5+n-1, {n, 0, 100}] (* Waldemar Puszkarz, Apr 02, 2016 *)
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {-1, 1, 33, 245, 1027, 3129}, 40] (* Harvey P. Dale, Sep 02 2020 *)

Prog

(Magma) [n^5+n-1: n in [0..100]]
(PARI) for(n=0, 100, print1(n^5+n-1, ", ")) \\ Waldemar Puszkarz, Apr 02 2016

Crossrefs

Cf. A003627, A016789, A131471, A161945, A271209.

Sequence in context: A017673 A001160 A294300 * A343499 A318744 A184059

Adjacent sequences: A271205 A271206 A271207 * A271209 A271210 A271211

Keyword

sign,easy

Author

Jaroslav Krizek, Apr 02 2016

Status

approved