A024446 Expansion of 1/((1-x)(1-7x)(1-11x)(1-12x)).

1, 31, 638, 10982, 171171, 2506917, 35201776, 479688604, 6392929061, 83765551883, 1083070611714, 13855878102066, 175736023769671, 2213065674408529, 27704146634051252, 345076242383014568, 4279844990866901001, 52886642197647118455, 651455131567317021190

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31, -323, 1217, -924).

Formula

a(0)=1, a(1)=31, a(2)=638, a(3)=10982, a(n)=31*a(n-1)-323*a(n-2)+1217*a(n-3)- 924*a(n-4). - Harvey P. Dale, Mar 29 2013

a(n) = (2*12^(n+4) - 3*11^(n+4) + 11*7^(n+3) - 2)/1320. [Yahia Kahloune, Jul 01 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{31, -323, 1217, -924}, {1, 31, 638, 10982}, 30] (* Harvey P. Dale, Mar 29 2013 *)

Crossrefs

Sequence in context: A025009 A028004 A025007 * A020983 A020981 A362512

Adjacent sequences: A024443 A024444 A024445 * A024447 A024448 A024449

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Harvey P. Dale, Mar 29 2013

Status

approved