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0, 1, 20, 220, 1540, 7770, 30856, 102340, 295240, 762355, 1798940, 3939936, 8104460, 15803060, 29426320, 52636760, 90889616, 152112005, 247574180, 392991060, 609896980, 927341646, 1383960600, 2030479100, 2932714200, 4175145975, 5865135276, 8137872120
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
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FORMULA
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a(n) = (n*(1 + n)*(2 + n)*(3 + n)*(2 + n^2)*(12 + n*(1 + n)*(2 + n)))/1296.
G.f.: x*(1+10*x+65*x^2+120*x^3+80*x^4+4*x^5)/(1-x)^10. - Colin Barker, Apr 30 2012.
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MAPLE
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a:= (n-> binomial(n+2, 3))@@2:
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MATHEMATICA
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Table[(n (1 + n) (2 + n) (3 + n) (2 + n^2) (12 + n (1 + n) (2 + n)))/1296, {n, 0, 20}]
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PROG
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(PARI) b(n)=n*(n+1)*(n+2)/6;
a(n)=b(b(n));
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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