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Search: id:A101004
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| 1, 13, 263, 7518, 280074, 12895572, 707902740, 45152821872, 3282497058384, 267944580145440, 24268165166553120, 2415271958048304000, 262018936450492859520, 30774091302535254992640, 3890462788950375951532800, 526745212429645673433446400, 76046696235437224473872640000
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891.
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FORMULA
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Let h_n = Sum_{ j=1..n } binomial(n,j)^2*binomial(2*j,j)*Sum_{ i=0..j-1 } 2/(n-i). Then a(n) = n!*h_n/4.
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MAPLE
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h := n-> add(binomial(n, j)^2*binomial(2*j, j)*add( 2/(n-i), i=0..j-1), j=1..n); [seq(n!*h(n)/4, n=1..30)];
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CROSSREFS
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Adjacent sequences: A101001 A101002 A101003 this_sequence A101005 A101006 A101007
Sequence in context: A142811 A034833 A013518 this_sequence A142931 A142262 A001658
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Jan 20 2008, Jan 25 2008
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