A028059 Expansion of 1/((1-3x)(1-5x)(1-7x)(1-8x)).

1, 23, 338, 4054, 43323, 430269, 4065916, 37085708, 329561045, 2871469315, 24640946694, 208933723362, 1754722389967, 14623596707561, 121104748389872, 997726082646616, 8184406735022889, 66895347552055407

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (23, -191, 673, -840).

Formula

a(n)=(8^(n+4)-15*7^(n+3)+2*5^(n+4)-3^(n+4))/120. [Yahia Kahloune, Jun 08 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-8x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{23, -191, 673, -840}, {1, 23, 338, 4054}, 30] (* Harvey P. Dale, Dec 17 2014 *)

Crossrefs

Sequence in context: A243422 A028110 A163512 * A299710 A028055 A026324

Adjacent sequences: A028056 A028057 A028058 * A028060 A028061 A028062

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved