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A112102
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Numerator of Sum_{i=1..n} 1/(i^3*C(2*i,i)).
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5
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0, 1, 25, 1129, 63251, 1581371, 52185743, 33242372291, 24176277773, 40688677687159, 2378722720177, 3741730846458901, 86059809503772983, 72720539036773885963, 72720539038037143387, 52722390802769505531767, 13075152919096992777263341
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OFFSET
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0,3
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LINKS
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EXAMPLE
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0, 1/2, 25/48, 1129/2160, 63251/120960, 1581371/3024000, 52185743/99792000, ... -> Pi^2/18.
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MAPLE
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f:= proc(n) local i; numer(add(1/(i^3*binomial(2*i, i)), i=1..n)) end proc:
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MATHEMATICA
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Join[{0}, Numerator[Accumulate[Table[1/(i^3 Binomial[2i, i]), {i, 20}]]]] (* Harvey P. Dale, May 28 2014 *)
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PROG
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(PARI) a(n) = numerator(sum(i=1, n, 1/(i^3*binomial(2*i, i)))); \\ Michel Marcus, Mar 10 2016
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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Definition corrected (and an incorrect sum deleted) by Wolfdieter Lang, Oct 07 2008
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STATUS
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approved
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