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Search: id:A109074
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| A109074 |
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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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| 1, 1, 3, 26, 323, 2415, 26970, 66526, 717541, 278992987, 30741431, 753069156, 21291561634, 1258540885373, 11255629805034, 833378477982, 181778972767041, 101220208716435, 644821697046585, 4759584409762049637, 7692170694126370209, 19898042621084590853
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OFFSET
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0,3
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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. A134357, A005156.
Sequence in context: A048861 A053972 A126738 this_sequence A119293 A136046 A122949
Adjacent sequences: A109071 A109072 A109073 this_sequence A109075 A109076 A109077
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KEYWORD
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nonn,frac
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AUTHOR
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njas, May 04 2008
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