A028024 Expansion of 1/((1-2x)(1-10x)(1-11x)(1-12x)).

1, 35, 797, 14959, 251349, 3931431, 58494829, 838932143, 11699121797, 159590758327, 2138803364061, 28251497273727, 368712393238645, 4763687404354823, 61019774392655693, 775898073656236111

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (35,-428,2044,-2640).

Formula

a(n)=(36*12^(n+3)-80*11^(n+3)+45*10^(n+3)-2^(n+3))/720. [Yahia Kahloune, May 30 2013].

Mathematica

CoefficientList[Series[1/((1-2x)(1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{35, -428, 2044, -2640}, {1, 35, 797, 14959}, 30] (* Harvey P. Dale, Jul 06 2021 *)

Crossrefs

Sequence in context: A028107 A066553 A137309 * A226941 A249883 A249884

Adjacent sequences: A028021 A028022 A028023 * A028025 A028026 A028027

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved