A028175 Expansion of 1/((1-5x)(1-6x)(1-9x)(1-11x)).

1, 31, 612, 9842, 140903, 1874733, 23747074, 290631904, 3469802325, 40674188555, 470287309856, 5380934171886, 61072079752867, 688801372689097, 7730331225654558, 86417957138887388, 963072515157938129

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..958

Index entries for linear recurrences with constant coefficients, signature (31, -349, 1689, -2970).

Formula

a(n)=(2*11^(n+3)-5*9^(n+3)+8*6^(n+3)-5^(n+4))/120. [Yahia Kahloune, Jun 03 2013]

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-9x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{31, -349, 1689, -2970}, {1, 31, 612, 9842}, 30] (* Harvey P. Dale, Nov 18 2014 *)

Prog

(PARI) x='x+O('x^66); Vec(1/((1-5*x)*(1-6*x)*(1-9*x)*(1-11*x))) \\ Joerg Arndt, Jun 03 2013

Crossrefs

Sequence in context: A215794 A028182 A028155 * A028150 A028173 A301769

Adjacent sequences: A028172 A028173 A028174 * A028176 A028177 A028178

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved