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A059300 Triangle of idempotent numbers binomial(n,k)*k^(n-k), version 4. +0
7
1, 1, 2, 1, 6, 3, 1, 12, 24, 4, 1, 20, 90, 80, 5, 1, 30, 240, 540, 240, 6, 1, 42, 525, 2240, 2835, 672, 7, 1, 56, 1008, 7000, 17920, 13608, 1792, 8, 1, 72, 1764, 18144, 78750, 129024, 61236, 4608, 9, 1, 90, 2880, 41160, 272160, 787500, 860160 (list; table; graph; listen)
OFFSET

0,3

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 91, #43 and p. 135, [3i'].

EXAMPLE

Triangle begins 1; 0, 1; 0, 2, 1; 0, 3, 6, 1; 0, 4, 24, 12, 1; ...

CROSSREFS

There are 4 versions: A059297-A059300. Diagonals give A001788, A036216, A040075, A050982, A002378, 3*A002417, etc. Row sums are A000248.

Sequence in context: A060556 A132813 A034898 this_sequence A046803 A121468 A092392

Adjacent sequences: A059297 A059298 A059299 this_sequence A059301 A059302 A059303

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 25 2001

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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