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Search: id:A001421
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| A001421 |
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(6*n)!/((n!)^3*(3*n)!). |
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+0
1
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| 1, 120, 83160, 81681600, 93699005400, 117386113965120, 155667030019300800, 214804163196079142400, 305240072216678400087000, 443655767845074392936328000, 656486312795713480715743268160
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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M. Kaneko and D. Zagier, Supersingular j-invariants, hypergeometric series and Atkin's orthogonal polynomials, pp. 97-126 of D. A. Buell and J. T. Teitelbaum, eds., Computational Perspectives on Number Theory, Amer. Math. Soc., 1998. (See Eq. 31.)
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FORMULA
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o.g.f.: Hypergeometric2F1(5/12, 1/12; 1; 1728x)^2 [From Jacob Lewis (jacobml(AT)uw.edu), Jul 28 2009]
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MAPLE
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f := n->(6*n)!/( (n!)^3*(3*n)!);
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MATHEMATICA
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Factorial[6 n]/(Factorial[3n] Factorial[n]^3) [From Jacob Lewis (jacobml(AT)uw.edu), Jul 28 2009]
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CROSSREFS
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Adjacent sequences: A001418 A001419 A001420 this_sequence A001422 A001423 A001424
Sequence in context: A074653 A065961 A058528 this_sequence A107446 A159735 A157879
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), KUPK78A(AT)prodigy.com (Glenn K Painter)
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