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A059603
Expansion of (1+15*x+15*x^2+x^3)/(1-x)^12.
2
1, 27, 273, 1715, 8007, 30381, 98735, 284349, 742950, 1791426, 4037670, 8591154, 17392258, 33711510, 62886162, 113381398, 198287439, 337392405, 560004575, 908737245, 1444515345, 2253115995, 3453615945, 5209188075, 7740767580, 11344196916, 16411557852
OFFSET
0,2
COMMENTS
a(n)= A038166(2*n).
LINKS
Index entries for linear recurrences with constant coefficients, signature (12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1).
FORMULA
a(n)= binomial(n+8, 8)*(2*n+9)*(8*n^2+72*n+55)/(11*5*9).
G.f.:(1+15*x+15*x^2+x^3)/(1-x)^12.
MATHEMATICA
CoefficientList[Series[(1+15x+15x^2+x^3)/(1-x)^12, {x, 0, 40}], x] (* or *) LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {1, 27, 273, 1715, 8007, 30381, 98735, 284349, 742950, 1791426, 4037670, 8591154}, 40] (* Harvey P. Dale, Jul 03 2017 *)
CROSSREFS
Sequence in context: A136926 A042412 A078876 * A224117 A251080 A049011
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 02 2001
STATUS
approved