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A023948
Expansion of 1/((1-x)(1-5x)(1-11x)(1-12x)).
1
1, 29, 566, 9346, 141027, 2013855, 27722632, 371889332, 4894555493, 63487825921, 814150878138, 10345138210758, 130470568108999, 1635266348565827, 20389018656020684, 253092309224759224
OFFSET
0,2
FORMULA
a(0)=1, a(1)=29, a(2)=566, a(3)=9346; for n>3, a(n) = 29*a(n-1)- 275*a(n-2)+ 907*a(n-3)- 660*a(n-4). [Harvey P. Dale, Jun 20 2011]
a(n) = (5*2^(2*n+7)*3^(n+3)+11*5^(n+3)-14*11^(n+3)-21)/9240. [Harvey P. Dale, Jun 20 2011]
MATHEMATICA
CoefficientList[Series[1/((1-x)(1-5x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{29, -275, 907, -660}, {1, 29, 566, 9346}, 30] (* Harvey P. Dale, Jun 20 2011 *)
PROG
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-5*x)*(1-11*x)*(1-12*x)))); // Vincenzo Librandi, Jul 12 2013
CROSSREFS
Sequence in context: A020979 A025985 A020978 * A020974 A167740 A158529
KEYWORD
nonn,easy
AUTHOR
STATUS
approved