A025948 Expansion of 1/((1-2x)(1-3x)(1-8x)(1-9x)).

1, 22, 321, 3938, 44045, 465894, 4751017, 47229226, 460842789, 4433881166, 42195474113, 398084143314, 3729357886333, 34737030515638, 322015765266009, 2973201855377402, 27359296571272277, 251037508511614110

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22, -163, 462, -432).

Formula

a(n) = -4*2^n/21 +9*3^n/10 -256*8^n/15 +243*9^n/14. - R. J. Mathar, Jun 20 2013

a(0)=1, a(1)=22, a(2)=321, a(3)=3938, a(n)=22*a(n-1)-163*a(n-2)+ 462*a(n-3)- 432*a(n-4). - Harvey P. Dale, Oct 04 2014

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-8x)(1-9x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{22, -163, 462, -432}, {1, 22, 321, 3938}, 20] (* Harvey P. Dale, Oct 04 2014 *)

Crossrefs

Sequence in context: A028029 A022453 A025968 * A021904 A022343 A025945

Adjacent sequences: A025945 A025946 A025947 * A025949 A025950 A025951

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved