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Search: id:A058621
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| A058621 |
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1/2*binomial(2*j,j) - (1+(-1)^j)/4*(binomial(j,j/2))^2. |
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+0
1
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| 0, 1, 1, 10, 17, 126, 262, 1716, 3985, 24310, 60626, 352716, 925190, 5200300, 14168988, 77558760, 217721745, 1166803110, 3355615450, 17672631900, 51855874642, 269128937220, 803232328548, 4116715363800, 12467572005382
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OFFSET
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0,4
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COMMENT
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This is the right side of the binomial sum: sum(binomial(n,i)^2, i=0..(n-1)/2)
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REFERENCES
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A. P. Prudnikov, Yu. A. Brychkov and O.I. Marichev, "Integrals and Series", Volume 1: "Elementary Functions", Chapter 4: "Finite Sums", New York, Gordon and Breach Science Publishers, 1986-1992.
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CROSSREFS
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Sequence in context: A039336 A043159 A043939 this_sequence A002744 A156382 A084487
Adjacent sequences: A058618 A058619 A058620 this_sequence A058622 A058623 A058624
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KEYWORD
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nonn
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AUTHOR
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Yong Kong (ykong(AT)curagen.com), Dec 26 2000
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