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A059299
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Triangle of idempotent numbers binomial(n,k)*k^(n-k), version 3.
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0
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1, 1, 0, 1, 2, 0, 1, 6, 3, 0, 1, 12, 24, 4, 0, 1, 20, 90, 80, 5, 0, 1, 30, 240, 540, 240, 6, 0, 1, 42, 525, 2240, 2835, 672, 7, 0, 1, 56, 1008, 7000, 17920, 13608, 1792, 8, 0, 1, 72, 1764, 18144, 78750, 129024, 61236, 4608, 9, 0, 1, 90, 2880, 41160
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, [3i'].
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EXAMPLE
| Triangle begins 1; 0, 1; 0, 2, 1; 0, 3, 6, 1; 0, 4, 24, 12, 1; ...
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CROSSREFS
| There are 4 versions: A059297-A059300. Diagonals give A001788, A036216, A040075, A050982, A002378, 3*A002417, etc. Row sums are A000248.
Sequence in context: A161121 A021500 A175197 * A128722 A114709 A089949
Adjacent sequences: A059296 A059297 A059298 * A059300 A059301 A059302
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KEYWORD
| nonn,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2001
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