A025981 Expansion of 1/((1-2x)(1-4x)(1-9x)(1-11x)).

1, 26, 449, 6526, 86565, 1087242, 13183033, 156056342, 1816137389, 20873693698, 237678368577, 2687080081998, 30211476701173, 338208740115194, 3773239145742281, 41982119790892294, 466091728979229117

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (26, -227, 754, -792).

Formula

a(0)=1, a(1)=26, a(2)=449, a(3)=6526, a(n)=26*a(n-1)-227*a(n-2)+ 754*a(n-3)- 792*a(n-4) -- From Harvey P. Dale, Aug 11 2012

a(n) = -4*2^n/63 +32*4^n/35 -729*9^n/70 +1331*11^n/126. R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-9x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{26, -227, 754, -792}, {1, 26, 449, 6526}, 20] (* Harvey P. Dale, Aug 11 2012 *)

Crossrefs

Sequence in context: A024170 A028042 A023956 * A025996 A023540 A025979

Adjacent sequences: A025978 A025979 A025980 * A025982 A025983 A025984

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved