A025955 Expansion of 1/((1-2x)(1-3x)(1-10x)(1-11x)).

1, 26, 455, 6760, 92121, 1191606, 14892475, 181671620, 2176950941, 25732149586, 300910712895, 3488589043680, 40160193084961, 459619264745966, 5234383334635715, 59363930948274940, 670860383232854181

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -221, 676, -660).

Formula

a(n) = -2^n/9 +27*3^n/56 -125*10^n/7 +1331*11^n/72. - R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=26, a(2)=455, a(3)=6760, a(n)=26*a(n-1)-221*a(n-2)+ 676*a(n-3)- 660*a(n-4). - Harvey P. Dale, Aug 25 2014

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-10x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{26, -221, 676, -660}, {1, 26, 455, 6760}, 20] (* Harvey P. Dale, Aug 25 2014 *)

Crossrefs

Sequence in context: A020970 A023953 A020968 * A022725 A020606 A021984

Adjacent sequences: A025952 A025953 A025954 * A025956 A025957 A025958

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved