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A192652
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Convolution of the Floor-Sqrt transform of Catalan numbers.
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0
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1, 2, 3, 6, 11, 22, 44, 86, 169, 332, 652, 1280, 2513, 4932, 9688, 19040, 37439, 73658, 144985, 285530, 562589, 1108994, 2187050, 4314894, 8516372, 16815264, 33213075, 65624052, 129705457, 256441194, 507160201, 1003284894, 1985269126, 3929390078, 7779228124, 15404540776
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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(floor(sqrt(binomial(2*k,k)/(k+1)))*floor(sqrt(binomial(2*n-2*k,n-k)/(n-k+1))),k=0..n).
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MATHEMATICA
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Table[Sum[Floor[Sqrt[Binomial[2k, k]/(k+1)]]Floor[Sqrt[Binomial[2n-2k, n-k]/(n-k+1)]], {k, 0, n}], {n, 0, 100}]
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PROG
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(Maxima) makelist(sum(floor(sqrt(binomial(2*k, k)/(k+1)))*floor(sqrt(binomial(2*n-2*k, n-k)/(n-k+1))), k, 0, n), n, 0, 24);
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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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