A024999 Expansion of 1/((1-x)(1-8x)(1-10x)(1-11x)).

1, 30, 593, 9738, 143949, 1989198, 26238361, 334590546, 4159355717, 50694901686, 608290940049, 7207487623674, 84523773236605, 982803891723294, 11346293009032457, 130203935811077922, 1486512106726735413

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -307, 1158, -880).

Formula

a(0)=1, a(1)=30, a(2)=593, a(3)=9738, a(n)=30*a(n-1)-307*a(n-2)+ 1158*a(n-3)- 880*a(n-4). - Harvey P. Dale, Aug 19 2012

a(n) = (21*11^(n+3) - 35*10^(n+3) + 15*8^(n+3) - 1)/630. [Yahia Kahloune, Jul 01 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-8x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{30, -307, 1158, -880}, {1, 30, 593, 9738}, 30] (* Harvey P. Dale, Aug 19 2012 *)

Crossrefs

Sequence in context: A028011 A028072 A028003 * A024778 A004347 A028052

Adjacent sequences: A024996 A024997 A024998 * A025000 A025001 A025002

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved