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A093566
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n*(n-1)*(n-2)*(n-3)*(n^2-3*n-2)/48.
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6
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0, 0, 0, 0, 1, 20, 120, 455, 1330, 3276, 7140, 14190, 26235, 45760, 76076, 121485, 187460, 280840, 410040, 585276, 818805, 1125180, 1521520, 2027795, 2667126, 3466100, 4455100, 5668650, 7145775, 8930376, 11071620, 13624345, 16649480, 20214480
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| With a different offset these numbers are produced by binomial(binomial(n, 2), 3).
These numbers arise from studying represntations of so(n). - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 25 2007
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REFERENCES
| Solomon W. Golomb, Iterated binomial coefficients, Amer. Math. Monthly, 87 (1980), 719-727.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
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FORMULA
| G.f.: -x^4*(1+13*x+x^2)/(x-1)^7. [R. J. Mathar, Dec 08 2010]
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MATHEMATICA
| Table[ Binomial[ Binomial[n, 2], 3], {n, 32}]
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PROG
| (Other) sage: [(binomial(binomial(n, 2), 3)) for n in xrange(-1, 33)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 30 2009]
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CROSSREFS
| Sequence in context: A121040 A044352 A044733 * A041770 A156255 A004634
Adjacent sequences: A093563 A093564 A093565 * A093567 A093568 A093569
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com) and Santino Spadaro (spadaro(AT)nabanassar.com), Mar 31 2004
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EXTENSIONS
| Edited (with a new definition) by N. J. A. Sloane (njas(AT)research.att.com), Jul 02 2008
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