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A035045
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Inverse binomial transform of A002054.
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3
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1, 4, 12, 35, 101, 291, 839, 2423, 7011, 20326, 59038, 171777, 500603, 1461032, 4269828, 12493857, 36599403, 107325540, 315027276, 925501857, 2721208599, 8007114171, 23577440439, 69470880381, 204821487269, 604223501426, 1783419354954, 5266582196407, 15560042628205
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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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Recurrence: (n+3)*(3*n-1)*a(n) = (6*n^2+19*n+7)*a(n-1) + 3*(n-1)*(3*n+2)*a(n-2). - Vaclav Kotesovec, Oct 08 2012
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MATHEMATICA
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Table[Sum[(-1)^(n-k)*Binomial[n, k]*Binomial[2k+3, k], {k, 0, n}], {n, 0, 22}] (* Vaclav Kotesovec, Oct 08 2012 *)
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PROG
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(PARI) a(n)=sum(k=0, n, (-1)^(n-k)*binomial(n, k)*binomial(2*k+3, k) ); \\ Joerg Arndt, May 04 2013
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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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