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A186182
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Expansion of 1/(1-x*A002294(x)).
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0
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1, 1, 2, 8, 50, 388, 3363, 31132, 301156, 3007000, 30753169, 320492869, 3391067666, 36331532588, 393353506931, 4296895624750, 47300050998991, 524168531729460, 5842914510975105, 65470405191871331, 737008925038212059, 8331166456981245521
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = Sum_{k=1..n} k/(4*n-3*k)*binomial(5*n-4*k-1,n-k), n>0; a(0) = 1.
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MATHEMATICA
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Join[{1}, Table[Sum[k/(4n-3k) Binomial[5n-4k-1, n-k], {k, n}], {n, 30}]] (* Harvey P. Dale, Feb 05 2012 *)
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PROG
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(PARI) a(n)=max(1, sum(k=1, n, k/(4*n-3*k)*binomial(5*n-4*k-1, n-k)))
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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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