A028086 Expansion of 1/((1-3x)(1-6x)(1-10x)(1-11x)).

1, 30, 583, 9348, 134689, 1815498, 23402251, 292300176, 3567408757, 42782700246, 506142615199, 5923623309084, 68724754852105, 791647407688674, 9065029251275827, 103285339786658472, 1171844560056255133

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -317, 1368, -1980).

Formula

a(n)=(21*11^(n+3)-3*10^(n+4)+14*6^(n+3)-5*3^(n+3))/840. [Yahia Kahloune, May 31 2013]

a(0)=1, a(1)=30, a(2)=583, a(3)=9348, a(n)=30*a(n-1)-317*a(n-2)+ 1368*a(n-3)- 1980*a(n-4). - Harvey P. Dale, Jun 18 2014

Mathematica

CoefficientList[Series[1/((1-3x)(1-6x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -317, 1368, -1980}, {1, 30, 583, 9348}, 30] (* Harvey P. Dale, Jun 18 2014 *)

Crossrefs

Sequence in context: A028094 A028138 A028127 * A028092 A028126 A028016

Adjacent sequences: A028083 A028084 A028085 * A028087 A028088 A028089

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved