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A366179
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G.f. A(x) satisfies A(x) = 1/(1 - x)^2 + x*A(x)^3/(1 - x).
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2
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1, 3, 13, 80, 582, 4627, 38906, 340138, 3060404, 28151835, 263546436, 2502686416, 24048985907, 233410500126, 2284790496700, 22530585455108, 223610524426654, 2231886642819974, 22389017726854323, 225604735477075272, 2282518274913713101
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} binomial(n+4*k+1,n-k) * binomial(3*k,k)/(2*k+1).
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PROG
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(PARI) a(n) = sum(k=0, n, binomial(n+4*k+1, n-k)*binomial(3*k, k)/(2*k+1));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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