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A112102 Numerator of Sum_{i=1..n} 1/(i^3*C(2*i,i)). 4
0, 1, 25, 1129, 63251, 1581371, 52185743, 33242372291, 24176277773, 40688677687159, 2378722720177, 3741730846458901, 86059809503772983, 72720539036773885963, 72720539038037143387, 52722390802769505531767, 13075152919096992777263341 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

C. Elsner, On recurrence formulae for sums involving binomial coefficients, Fib. Q., 43 (No. 1, 2005), 31-45.

EXAMPLE

0, 1/2, 25/48, 1129/2160, 63251/120960, 1581371/3024000, 52185743/99792000, ... -> Pi^2/18.

CROSSREFS

Cf. A112103.

Sequence in context: A066852 A123204 A012508 * A012799 A120694 A012809

Adjacent sequences:  A112099 A112100 A112101 * A112103 A112104 A112105

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 30 2005

EXTENSIONS

Definition corrected (and an incorrect sum deleted) by Wolfdieter Lang, Oct 07 2008

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Last modified February 14 22:30 EST 2012. Contains 205678 sequences.