A017011 a(n) = (7*n + 2)^7.

128, 4782969, 268435456, 3404825447, 21870000000, 94931877133, 319277809664, 897410677851, 2207984167552, 4902227890625, 10030613004288, 19203908986159, 34792782221696, 60170087060757, 100000000000000, 160578147647843, 250226879128704, 379749833583241

Offset

0,1

Links

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

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

Formula

From Colin Barker, Mar 31 2017: (Start)

G.f.: (128 + 4781945*x + 230175288*x^2 + 1391257763*x^3 + 1879751888*x^4 + 609404775*x^5 + 35206808*x^6 + 78125*x^7) / (1 - x)^8.

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.

(End)

Prog

(Magma) [(7*n+2)^7: n in [0..25]]; // Vincenzo Librandi, Jul 13 2011
(PARI) Vec((128 + 4781945*x + 230175288*x^2 + 1391257763*x^3 + 1879751888*x^4 + 609404775*x^5 + 35206808*x^6 + 78125*x^7) / (1 - x)^8 + O(x^30)) \\ Colin Barker, Mar 31 2017

Crossrefs

Sequence in context: A227661 A016939 A346008 * A196995 A214389 A017095

Adjacent sequences: A017008 A017009 A017010 * A017012 A017013 A017014

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved