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A186546
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Floor-Sqrt transform of Catalan numbers (A000108).
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2
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1, 1, 1, 2, 3, 6, 11, 20, 37, 69, 129, 242, 456, 861, 1635, 3113, 5946, 11386, 21854, 42038, 81019, 156416, 302460, 585712, 1135739, 2204982, 4285715, 8338678, 16240318, 31658209, 61765576, 120601144, 235656667, 460799447, 901634095, 1765300397, 3458294143, 6778702259
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history;
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internal format)
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = floor(sqrt(binomial(2*n,n)/(n+1)))
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MATHEMATICA
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Table[Floor[Sqrt[Binomial[2n, n]/(n+1)]], {n, 0, 100}]
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PROG
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(Maxima) makelist(floor(sqrt(binomial(2*n, n)/(n+1))), 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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