A024443 Expansion of 1/((1-x)(1-7x)(1-9x)(1-12x)).

1, 29, 558, 8986, 131243, 1805223, 23872696, 307323332, 3882264405, 48383711857, 597102947714, 7316027902638, 89165615770687, 1082459954878331, 13102563809462412, 158253703693612504

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-283,1011,-756).

Formula

a(n) = (16*12^(n+3) - 55*9^(n+3) + 44*7^(n+3) - 5)/2640. [Yahia Kahloune, Jun 28 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{29, -283, 1011, -756}, {1, 29, 558, 8986}, 20] (* Harvey P. Dale, Jun 10 2023 *)

Crossrefs

Sequence in context: A028051 A024444 A026241 * A024435 A020979 A025985

Adjacent sequences: A024440 A024441 A024442 * A024444 A024445 A024446

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved