A028011 Expansion of 1/((1-2x)(1-7x)(1-9x)(1-12x)).

1, 30, 589, 9606, 141469, 1956918, 25981309, 335413254, 4245767581, 52992982614, 654705201085, 8028335357094, 97906258582237, 1189106856272118, 14398317567128317, 173947775018406726, 2097931504239454237, 25270527569760142230, 304106756286138899005

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (30,-311,1266,-1512).

Formula

a(n) = (7*12^(n+3)-25*9^(n+3)+3*7^(n+4)-3*2^(n+3))/1050. - Yahia Kahloune, Jun 06 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-7x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {30, -311, 1266, -1512}, {1, 30, 589, 9606}, 30] (* Harvey P. Dale, Oct 10 2022 *)

Crossrefs

Sequence in context: A028016 A028085 A028012 * A028072 A028003 A024999

Adjacent sequences: A028008 A028009 A028010 * A028012 A028013 A028014

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved