A028224 Expansion of 1/((1-7x)(1-8x)(1-11x)(1-12x)).

1, 38, 911, 17632, 301245, 4745706, 70660507, 1009770884, 13991407529, 189303883054, 2513736124263, 32882696484456, 424941717543253, 5436863390984882, 68985988087521779, 869260000449137548

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (38,-533,3268,-7392)

Formula

a(n)=(3*12^(n+3)-5*11^(n+3)+5*8^(n+3)-3*7^(n+3))/60. [Yahia Kahloune, Jun 12 2013]

Mathematica

CoefficientList[Series[1/((1-7x)(1-8x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{38, -533, 3268, -7392}, {1, 38, 911, 17632}, 20] (* Harvey P. Dale, Oct 03 2017 *)

Crossrefs

Sequence in context: A268788 A016075 A028226 * A028218 A028199 A285236

Adjacent sequences: A028221 A028222 A028223 * A028225 A028226 A028227

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved