A134357 - OEIS

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A134357

Denominator of binomial(6*n-2,2*n)/(2*binomial(4*n-1,2*n)).

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

0,1

COMMENTS

It is conjectured that binomial(6*n-2,2*n)/(2*binomial(4*n-1,2*n)) = A005156(n+1)/A005156(n).

REFERENCES

D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; see conjecture (6.18).

LINKS

Table of n, a(n) for n=0..28.

EXAMPLE

1/2, 1, 3, 26/3, 323/13, 2415/34, 26970/133, 66526/115, 717541/435, 278992987/59334, 30741431/2294, ...

CROSSREFS