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A192633
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Partial sums of the Floor-Sqrt transform of Catalan numbers.
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0
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1, 2, 3, 5, 8, 14, 25, 45, 82, 151, 280, 522, 978, 1839, 3474, 6587, 12533, 23919, 45773, 87811, 168830, 325246, 627706, 1213418, 2349157, 4554139, 8839854, 17178532, 33418850, 65077059, 126842635, 247443779, 483100446, 943899893, 1845533988, 3610834385, 7069128528, 13847830787
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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))),k=0..n).
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MATHEMATICA
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Table[Sum[Floor[Sqrt[Binomial[2k, k]/(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))), 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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