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Search: id:A112102
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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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+0
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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REFERENCES
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C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.
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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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CROSSREFS
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Cf. A112103.
Sequence in context: A066852 A123204 A012508 this_sequence A012799 A120694 A012809
Adjacent sequences: A112099 A112100 A112101 this_sequence A112103 A112104 A112105
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nov 30 2005
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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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