A026562 Expansion of 1/((1-2*x)*(1-6*x)*(1-8*x)*(1-10*x)).

1, 26, 440, 6160, 77616, 915936, 10347520, 113400320, 1215923456, 12829712896, 133751654400, 1381696942080, 14173677776896, 144610035654656, 1469203965870080, 14877573810749440, 150264242988711936

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (26,-236,856,-960).

Formula

a(n) = -2^n/24 +27*6^n/4 -64*8^n/3 +125*10^n/8. - R. J. Mathar, Jun 23 2013

E.g.f.: exp(2*x)*(375*exp(8*x) - 512*exp(6*x) + 162*exp(4*x) - 1)/24. - Stefano Spezia, Dec 20 2025

Mathematica

CoefficientList[Series[1/((1-2x)(1-6x)(1-8x)(1-10x)), {x, 0, 30}], x] (* Harvey P. Dale, Nov 06 2021 *)
(* Alternative: *)
LinearRecurrence[{26, -236, 856, -960}, {1, 26, 440, 6160}, 30] (* Harvey P. Dale, Nov 06 2021 *)

Crossrefs

Sequence in context: A028005 A028065 A028113 * A028062 A028047 A042304

Adjacent sequences: A026559 A026560 A026561 * A026563 A026564 A026565

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved