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A366215
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G.f. A(x) satisfies A(x) = 1/(1 - x)^4 + x*(1 - x)^4*A(x)^4.
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1
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1, 5, 26, 200, 1995, 22522, 272152, 3437280, 44806905, 598204475, 8137535934, 112382617018, 1571496538035, 22205618546014, 316570999534832, 4547819503936622, 65770112191659609, 956743348385310031, 13989838139093922658, 205511713513718581234
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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+7*k+3,n-k) * binomial(4*k,k)/(3*k+1).
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PROG
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(PARI) a(n) = sum(k=0, n, binomial(n+7*k+3, n-k)*binomial(4*k, k)/(3*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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