A025467 Expansion of 1/((1-2x)(1-3x)(1-4x)(1-8x)).

1, 17, 191, 1813, 15855, 132909, 1089607, 8828501, 71093759, 570671101, 4573228023, 36617788389, 293071750063, 2345096538893, 18762876780839, 150111475106677, 1200925773302367, 9607542463373085, 76860885976538455

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (17,-98,232,-192).

Formula

a(n)=( 8^(n+3)-15*4^(n+3)+24*3^(n+3)-10*2^(n+3))/120. [Yahia Kahloune, May 27 2013]

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-4x)(1-8x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {17, -98, 232, -192}, {1, 17, 191, 1813}, 30] (* Harvey P. Dale, Jan 31 2023 *)

Crossrefs

Sequence in context: A211848 A021754 A141993 * A322122 A210340 A021494

Adjacent sequences: A025464 A025465 A025466 * A025468 A025469 A025470

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved