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A020758
Expansion of 1/((1-6x)(1-10x)(1-12x)).
1
1, 28, 532, 8560, 125776, 1747648, 23401792, 305401600, 3912299776, 49432480768, 618099069952, 7666644643840, 94496470552576, 1158938055589888, 14157139120832512, 172384964172513280
OFFSET
0,2
FORMULA
a(n) = 22*a(n-1) - 120*a(n-2) + 6^n for n>1, a(0)=1, a(1)=28. - Vincenzo Librandi, Mar 11 2011
a(n) = (2*12^(n+2) - 3*10^(n+2) + 6^(n+2))/24. [Yahia Kahloune, Jun 30 2013]
MATHEMATICA
CoefficientList[Series[1/((1-6x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {28, -252, 720}, {1, 28, 532}, 20] (* Harvey P. Dale, Aug 20 2022 *)
CROSSREFS
Sequence in context: A023947 A020972 A025957 * A022000 A020569 A163195
KEYWORD
nonn,easy
AUTHOR
STATUS
approved