A021904 Expansion of 1/((1-x)(1-4x)(1-8x)(1-9x)).

1, 22, 323, 3992, 44949, 478074, 4896391, 48839164, 477813017, 4606751006, 43913627979, 414851195616, 3890711480605, 36272898564418, 336508406905487, 3108995652410948, 28624326520414113, 262765886779943910

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (22, -161, 428, -288).

Formula

a(n) = (21*9^(n+3) - 30*8^(n+3) + 14*4^(n+3) - 5)/840. [Yahia Kahloune, Jul 03 2013]

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 8 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)

Crossrefs

Sequence in context: A022453 A025968 A025948 * A022343 A025945 A288576

Adjacent sequences: A021901 A021902 A021903 * A021905 A021906 A021907

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved