A028029 Expansion of 1/((1-3x)(1-4x)(1-5x)(1-10x)).

1, 22, 317, 3830, 42381, 447582, 4608877, 46813030, 471994061, 4740248942, 47508048237, 475624522230, 4759030936141, 47604501583102, 476117036332397, 4761534717751430, 47617186000380621, 476181122450194062

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (22, -167, 530, -600).

Formula

a(0)=1, a(1)=22, a(2)=317, a(3)=3830, a(n)=22*a(n-1)-167*a(n-2)+ 530*a(n-3)- 600*a(n-4). [Harvey P. Dale, May 08 2012]

a(n)=(10^(n+3)-21*5^(n+3)+35*4^(n+3)-15*3^(n+3))/210. [Yahia Kahloune, May 30 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-5x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{22, -167, 530, -600}, {1, 22, 317, 3830}, 30] (* Harvey P. Dale, May 08 2012 *)

Crossrefs

Sequence in context: A267132 A023949 A025972 * A022453 A025968 A025948

Adjacent sequences: A028026 A028027 A028028 * A028030 A028031 A028032

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved