A028067 Expansion of 1/((1-3x)(1-5x)(1-8x)(1-12x)).

1, 28, 513, 7844, 109073, 1435884, 18284641, 228039988, 2806440945, 34241833340, 415442661569, 5021759035332, 60553294750417, 728980076982796, 8766500495230497, 105347998786683476, 1265376309596698289

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28, -271, 1068, -1440).

Formula

a(n)=(5*12^(n+3)-21*8^(n+3)+30*5^(n+3)-14*3^(n+3))/1260. [Yahia Kahloune, Jun 08 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-8x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{28, -271, 1068, -1440}, {1, 28, 513, 7844}, 30] (* Harvey P. Dale, Oct 04 2023 *)

Crossrefs

Sequence in context: A028007 A028078 A028000 * A024771 A028050 A026738

Adjacent sequences: A028064 A028065 A028066 * A028068 A028069 A028070

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved