A017131 a(n) = (8*n + 5)^7.

78125, 62748517, 1801088541, 17249876309, 94931877133, 373669453125, 1174711139837, 3142742836021, 7446353252589, 16048523266853, 32057708828125, 60170087060757, 107213535210701, 182803912081669

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

G.f.: ( 78125 + 62123517*x + 1301287905*x^2 + 4593751457*x^3 + 3854897607*x^4 + 738035607*x^5 + 19469675*x^6 + 2187*x^7 ) / ( (x-1)^8 ). - R. J. Mathar, May 08 2015

Mathematica

(8*Range[0, 20]+5)^7 (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {78125, 62748517, 1801088541, 17249876309, 94931877133, 373669453125, 1174711139837, 3142742836021}, 20] (* Harvey P. Dale, Jul 09 2021 *)

Prog

(Magma) [(8*n+5)^7: n in [0..20] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016855 A016975 A017047 * A017227 A265935 A017335

Adjacent sequences: A017128 A017129 A017130 * A017132 A017133 A017134

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved