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Search: id:A134357
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| A134357 |
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Numerator of binomial(6*n-2,2*n)/(2*binomial(4*n-1,2*n)). |
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3
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| 2, 1, 1, 3, 13, 34, 133, 115, 435, 59334, 2294, 19721, 195693, 4060189, 12746447, 331303, 25369351, 4959422, 11092118, 28745223797, 16310849170, 14814154260, 348379527681, 263145320733, 1493627665569, 100023828627, 531705615333, 156537259557, 1047443521637
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OFFSET
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0,1
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COMMENT
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It is conjectured that binomial(6*n-2,2*n)/(2*binomial(4*n-1,2*n)) = A005156(n+1)/A005156(n).
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REFERENCES
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D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; see conjecture (6.18).
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EXAMPLE
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1/2, 1, 3, 26/3, 323/13, 2415/34, 26970/133, 66526/115, 717541/435, 278992987/59334, 30741431/2294, ...
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CROSSREFS
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Cf. A109074, A005156.
Sequence in context: A014521 A084389 A122022 this_sequence A049258 A078076 A010247
Adjacent sequences: A134354 A134355 A134356 this_sequence A134358 A134359 A134360
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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), May 04 2008
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