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A025933
Expansion of 1/((1-2x)(1-3x)(1-5x)(1-9x)).
0
1, 19, 240, 2570, 25391, 240489, 2226310, 20352640, 184772181, 1670999759, 15079423580, 135917468310, 1224272081371, 11023527831829, 99237160300050, 893261534749580, 8039989402000961, 72363082951440699, 651283639391863720, 5861632222156996450, 52755087348022338951
OFFSET
0,2
FORMULA
a(0)=1, a(1)=19, a(2)=240; a(n)=(9^(n+3)-7*5^(n+3)+14*3^(n+3)-8*2^(n+3))/168. [Yahia Kahloune, May 08 2013]
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-3x)(1-5x)(1-9x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{19, -121, 309, -270}, {1, 19, 240, 2570}, 30] (* Harvey P. Dale, Dec 26 2021 *)
PROG
(PARI) x='x+O('x^66); Vec(1/((1-2*x)*(1-3*x)*(1-5*x)*(1-9*x))) \\ Joerg Arndt, May 08 2013
CROSSREFS
Sequence in context: A142615 A021814 A299864 * A107203 A021544 A021772
KEYWORD
nonn,easy
AUTHOR
STATUS
approved