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A054649 Triangle T(n,k) giving coefficients in expansion of k! * Sum_{i=0..k} C(x-k,i) in powers of x. +0
2
1, 1, 0, 1, -3, 4, 1, -9, 32, -36, 1, -18, 131, -426, 528, 1, -30, 375, -2370, 7544, -9600, 1, -45, 865, -8955, 52414, -163800, 213120, 1, -63, 1729, -26565, 245854, -1366932, 4220376, -5574240, 1, -84, 3122, -66696, 893249, -7664916 (list; table; graph; listen)
OFFSET

0,5

EXAMPLE

For k=2 we get 1+C(x-2,1)+C(x-2,2) = x^2-3x+4.

1; 1,0; 1,-3,4; 1,-9,32,-36; ...

CROSSREFS

Cf. A054651, A008275, A008276, A048994.

Sequence in context: A136158 A102051 A078068 this_sequence A138263 A147721 A114608

Adjacent sequences: A054646 A054647 A054648 this_sequence A054650 A054651 A054652

KEYWORD

sign,tabl,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 16 2000

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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