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Search: id:A036917
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| A036917 |
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a(n) = (16*(n-1/2)*(2*n^2-2*n+1)*a(n-1)-256*(n-1)^3*a(n-2))/n^3. |
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+0
5
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| 1, 8, 88, 1088, 14296, 195008, 2728384, 38879744, 561787864, 8206324928, 120929313088, 1794924383744, 26802975999424, 402298219288064, 6064992788397568, 91786654611673088, 1393772628452578264, 21227503080738294464, 324160111169327247424
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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M. Petkovsek et al., "A=B", Peters, p. ix of second printing.
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LINKS
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N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).
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FORMULA
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Sum(C(2 * n-2 * k, n-k)^2 * C(2 * k, k)^2, k=0..n).
G.f.: (4/Pi^2)*EllipticK(4*x^(1/2))^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 01 2003
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CROSSREFS
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Cf. A036915, A057703.
Sequence in context: A112907 A053380 A115864 this_sequence A003497 A051605 A006750
Adjacent sequences: A036914 A036915 A036916 this_sequence A036918 A036919 A036920
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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