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Search: id:A112093
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| A112093 |
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Numerator of 3*Sum_{i=1..n} 1/(i^2*C(2*i,i)). |
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+0
2
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| 0, 3, 13, 197, 1105, 9211, 130277, 82987349, 331950131, 16929464521, 29241805241, 3538258509761, 6259995854281, 1057939300471201, 1057939300716589, 51133732870640471, 372975463296151087, 107789908892879155343, 51058377896658637853, 681986753565766904623961
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OFFSET
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0,2
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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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FORMULA
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3*Sum_{i=1..infinity} 1/(i^2*C(2*i, i)) = zeta(2) = Pi^2/6.
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MAPLE
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0, 3/2, 13/8, 197/120, 1105/672, 9211/5600, 130277/79200, 82987349/50450400, ... -> Pi^2/6.
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CROSSREFS
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Cf. A112094.
Adjacent sequences: A112090 A112091 A112092 this_sequence A112094 A112095 A112096
Sequence in context: A002065 A087601 A145503 this_sequence A085010 A165903 A100441
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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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