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A028176
Expansion of 1/((1-5x)(1-6x)(1-9x)(1-12x)).
0
1, 32, 655, 10970, 164281, 2296172, 30679075, 397562990, 5043607261, 63029650112, 779227037095, 9558498208610, 116583782365441, 1416013883792852, 17145682731588715, 207132506435751830
OFFSET
0,2
FORMULA
G.f.: 1/((1-5*x)*(1-6*x)*(1-9*x)*(1-12*x)).
a(n) = (2*12^(n+3)-7*9^(n+3)+14*6^(n+3)-9*5^(n+3))/252. - Yahia Kahloune, Jun 03 2013
a(n) = 32*a(n-1) - 369*a(n-2) + 1818*a(n-3) - 3240*a(n-4). - Wesley Ivan Hurt, Jan 25 2023
MATHEMATICA
CoefficientList[Series[1/((1-5x)(1-6x)(1-9x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{32, -369, 1818, -3240}, {1, 32, 655, 10970}, 20] (* Harvey P. Dale, Sep 26 2016 *)
CROSSREFS
Sequence in context: A076069 A080480 A028152 * A028151 A160270 A028102
KEYWORD
nonn
AUTHOR
STATUS
approved