A025999 Expansion of 1/((1-2x)(1-5x)(1-8x)(1-11x)).

1, 26, 445, 6370, 82901, 1019746, 12105885, 140404290, 1603014501, 18104952866, 202945103725, 2262802497410, 25134485221301, 278430633932386, 3078357517755965, 33986947913921730, 374856803115095301

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -231, 806, -880).

Formula

a(n) = -4*2^n/81 +125*5^n/54 -256*8^n/27 +1331*11^n/162. R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=26, a(2)=445, a(3)=6370, a(n)=26*a(n-1)-231*a(n-2)+ 806*a(n-3)- 880*a(n-4). - Harvey P. Dale, May 24 2014

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-8x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{26, -231, 806, -880}, {1, 26, 445, 6370}, 20] (* Harvey P. Dale, May 24 2014 *)

Crossrefs

Sequence in context: A028045 A288714 A024438 * A028058 A331881 A024170

Adjacent sequences: A025996 A025997 A025998 * A026000 A026001 A026002

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved