A025975 Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).

1, 25, 419, 5981, 78939, 999453, 12366859, 151048909, 1831243931, 22106050109, 266192557995, 3200758779309, 38454275485627, 461767630974493, 5543426384577227, 66536622452560781, 798548018884036827

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (25,-206,656,-672).

Formula

a(n) = -2*2^n/25 +4*4^n/3 -343*7^n/75 +108*12^n/25. R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-7x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{25, -206, 656, -672}, {1, 25, 419, 5981}, 20] (* Harvey P. Dale, Sep 24 2021 *)

Crossrefs

Sequence in context: A025991 A022628 A020838 * A025953 A020595 A001456

Adjacent sequences: A025972 A025973 A025974 * A025976 A025977 A025978

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved