A028072 Expansion of 1/((1-3x)(1-5x)(1-10x)(1-12x)).

1, 30, 589, 9630, 142621, 1989510, 26692669, 348689550, 4469016541, 56480471190, 706312706749, 8761344810270, 107992670570461, 1324480424684070, 16179464126208829, 197010636086927790

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -311, 1290, -1800).

Formula

a(n)=(5*12^(n+3)-9*10^(n+3)+9*5^(n+3)-5*3^(n+3))/630. [Yahia Kahloune, Jun 10 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-5x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or  *) LinearRecurrence[{30, -311, 1290, -1800}, {1, 30, 589, 9630}, 30] (* Harvey P. Dale, Dec 30 2023 *)

Crossrefs

Sequence in context: A028085 A028012 A028011 * A028003 A024999 A024778

Adjacent sequences: A028069 A028070 A028071 * A028073 A028074 A028075

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved