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A120666
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Triangular array generated by a special case of Macdonald's Constant-Term Conjecture.
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0
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1, 1, 6, 1, 20, 1680, 1, 70, 34650, 63063000, 1, 252, 756756, 11732745024, 623360743125120, 1, 924, 17153136, 2308743493056, 1370874167589326400, 2670177736637149247308800, 1, 3432, 399072960, 472518347558400
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Eric Weisstein's World of Mathematics, Macdonald's Constant-Term Conjecture
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FORMULA
| a(n,m) = (n*m)!/(m!)^n
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EXAMPLE
| Triangle begins:
1
1, 6
1, 20, 1680
1, 70, 34650, 63063000
1, 252, 756756, 11732745024, 623360743125120
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MATHEMATICA
| a = Table[Table[(n*m)!/(m!)^n, {n, 1, m}], {m, 1, 10}] Flatten[a]
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CROSSREFS
| Sequence in context: A161151 A146383 A096130 * A050300 A185678 A118394
Adjacent sequences: A120663 A120664 A120665 * A120667 A120668 A120669
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KEYWORD
| nonn,tabl
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AUTHOR
| Roger Bagula (rlbagulatftn(AT)yahoo.com), Aug 11 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 17 2007
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