A168225 a(n) = n^4*(n^7 + 1)/2.

0, 1, 1032, 88614, 2097280, 24414375, 181399176, 988664572, 4294969344, 15690533085, 50000005000, 142655842626, 371504195712, 896080211299, 2024782604040, 4324877955000, 8796093054976, 17135948195577

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).

Formula

G.f.: (x + 1020*x^2 + 76296*x^3 + 1101804*x^4 + 4868994*x^5 + 7862124*x^6 + 4869120*x^7 + 1101684*x^8 + 76341*x^9 + 1016*x^10)/(1 - x)^12. - G. C. Greubel, Jul 16 2016

Mathematica

Table[n^4*(n^7 + 1)/2, {n, 0, 50}] (* G. C. Greubel, Jul 16 2016 *)
LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {0, 1, 1032, 88614, 2097280, 24414375, 181399176, 988664572, 4294969344, 15690533085, 50000005000, 142655842626}, 20] (* Harvey P. Dale, Sep 23 2021 *)

Prog

(Magma) [n^4*(n^7+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 28 2011

Crossrefs

Sequence in context: A282357 A224428 A283724 * A282576 A122716 A031609

Adjacent sequences: A168222 A168223 A168224 * A168226 A168227 A168228

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved