A180357 a(n) = n^7 + 7*n.

0, 8, 142, 2208, 16412, 78160, 279978, 823592, 2097208, 4783032, 10000070, 19487248, 35831892, 62748608, 105413602, 170859480, 268435568, 410338792, 612220158, 893871872, 1280000140, 1801088688, 2494358042

Offset: 0

Author

Odimar Fabeny, Aug 30 2010

Keywords

• easy
• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Cf. A132411, A079908, A180354, A180355, A180356.

Programs

Mathematica

Table[n^7+7n,{n,0,30}] (* Harvey P. Dale, Sep 10 2010 *)

Formula

From Chai Wah Wu, Oct 15 2016: (Start)

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n > 7.

G.f.: 2*x*(4*x^6 + 39*x^5 + 648*x^4 + 1138*x^3 + 648*x^2 + 39*x + 4)/(x - 1)^8. (End)

Extensions

First term corrected and additional terms from Harvey P. Dale, Sep 10 2010