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A054649
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Triangle T(n,k) giving coefficients in expansion of k! * Sum_{i=0..k} C(x-k,i) in powers of x.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,5
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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; ...
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CROSSREFS
| Cf. A054651, A008275, A008276, A048994.
Sequence in context: A164948 A102051 A078068 * A138263 A147721 A172094
Adjacent sequences: A054646 A054647 A054648 * A054650 A054651 A054652
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KEYWORD
| sign,tabl,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 16 2000
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