A025031 Expansion of 1/((1-x)(1-9x)(1-10x)(1-12x)).

1, 32, 675, 11830, 186641, 2752932, 38765455, 527869010, 7009691181, 91304772832, 1171464693035, 14850954198990, 186462962442121, 2322930268904732, 28754646814361415, 354082225170989770

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (32, -349, 1398, -1080).

Formula

a(0)=1, a(1)=32, a(2)=675, a(3)=11830, a(n)=32*a(n-1)- 349*a(n-2)+ 1398*a(n-3)-1080*a(n-4) [From Harvey P. Dale, Jul 26 2011]

a(n) = (12^(n+4) - 44*10^(n+3) + 33*9^(n+3) - 1)/792. [Yahia Kahloune, Jul 02 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-9x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -349, 1398, -1080}, {1, 32, 675, 11830}, 30] (* Harvey P. Dale, Jul 26 2011 *)

Crossrefs

Sequence in context: A028019 A028014 A240362 * A025008 A020984 A247997

Adjacent sequences: A025028 A025029 A025030 * A025032 A025033 A025034

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved