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Search: id:A059297
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| A059297 |
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Triangle of idempotent numbers binomial(n,k)*k^(n-k), version 1. |
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+0
7
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| 1, 0, 1, 0, 2, 1, 0, 3, 6, 1, 0, 4, 24, 12, 1, 0, 5, 80, 90, 20, 1, 0, 6, 240, 540, 240, 30, 1, 0, 7, 672, 2835, 2240, 525, 42, 1, 0, 8, 1792, 13608, 17920, 7000, 1008, 56, 1, 0, 9, 4608, 61236, 129024, 78750, 18144, 1764, 72, 1, 0, 10, 11520, 262440
(list; table; graph; listen)
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OFFSET
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0,5
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, [3i'].
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LINKS
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G. Duchamp, K. A. Penson, A. I. Solomon, A. Horzela and P. Blasiak, One-parameter groups and combinatorial physics.
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FORMULA
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E.g.f.: exp(x*y*exp(y)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 18 2003
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EXAMPLE
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Triangle begins 1; 0, 1; 0, 2, 1; 0, 3, 6, 1; 0, 4, 24, 12, 1; ...
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CROSSREFS
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There are 4 versions: A059297-A059300. Diagonals give A001788, A036216, A040075, A050982, A002378, 3*A002417, etc. Row sums are A000248.
Sequence in context: A145460 A035543 A105546 this_sequence A077874 A153007 A090683
Adjacent sequences: A059294 A059295 A059296 this_sequence A059298 A059299 A059300
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2001
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