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URL: https://oeis.org/A025031

⇱ A025031 - OEIS

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A025031
Expansion of 1/((1-x)*(1-9*x)*(1-10*x)*(1-12*x)).
0
1, 32, 675, 11830, 186641, 2752932, 38765455, 527869010, 7009691181, 91304772832, 1171464693035, 14850954198990, 186462962442121, 2322930268904732, 28754646814361415, 354082225170989770, 4341335983750863461, 53038286451412348632, 646050840345677178595, 7850043821617798209350, 95188540607751738219201, 1152265731139175407104532
OFFSET
0,2
FORMULA
a(0)=1, a(1)=32, a(2)=675, a(3)=11830, a(n) = 32*a(n-1)-349*a(n-2)+1398*a(n-3)-1080*a(n-4). - Harvey P. Dale, Jul 26 2011
a(n) = (12^(n+4) - 44*10^(n+3) + 33*9^(n+3) - 1)/792. - Yahia Kahloune, Jul 02 2013
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-9x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{32, -349, 1398, -1080}, {1, 32, 675, 11830}, 30] (* Harvey P. Dale, Jul 26 2011 *)
CROSSREFS
Sequence in context: A028019 A028014 A240362 * A025008 A020984 A247997
KEYWORD
nonn,easy
STATUS
approved