A024445 Expansion of 1/((1-x)(1-7x)(1-10x)(1-12x)).

1, 30, 597, 9934, 149709, 2121126, 28836949, 380838558, 4924739997, 62690732182, 788556862821, 9827670001422, 121598064661165, 1495950059553798, 18319924811095413, 223529877519404926, 2719305099847790013, 33001398296589107574, 399716050359089793925

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30, -303, 1114, -840).

Formula

a(0)=1, a(1)=30, a(2)=597, a(3)=9934, a(n)=30*a(n-1)-303*a(n-2)+ 1114*a(n-3)-840*a(n-4) [From Harvey P. Dale, May 18 2011]

a(n) = (27*12^(n+3) - 55*10^(n+3) + 33*7^(n+3) - 5)/2940. [Yahia Kahloune, Jul 01 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-10x)(1-12x)), {x, 0, 40}], x] (* or *) LinearRecurrence[{30, -303, 1114, -840}, {1, 30, 597, 9934}, 40] (* Harvey P. Dale, May 18 2011 *)

Crossrefs

Sequence in context: A024778 A004347 A028052 * A026308 A081140 A131206

Adjacent sequences: A024442 A024443 A024444 * A024446 A024447 A024448

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Harvey P. Dale, May 18 2011.

Status

approved