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A054651 Triangle T(n,k) giving coefficients in expansion of k! * Sum_{i=0..k} C(x,i) in powers of x. +0
3
1, 1, 1, 1, 1, 2, 1, 5, 6, 1, -2, 11, 14, 24, 1, -5, 25, 5, 94, 120, 1, -9, 55, -75, 304, 444, 720, 1, -14, 112, -350, 1099, 364, 3828, 5040, 1, -20, 210, -1064, 3969, -4340, 15980, 25584, 40320, 1, -27, 366, -2646, 12873, -31563, 79064, 34236 (list; table; graph; listen)
OFFSET

0,6

EXAMPLE

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

1; 1,1; 1,1,2; 1,5,6; 1,2,11,14,24; ...

CROSSREFS

Cf. A054649, A054655, A054654.

Sequence in context: A129157 A086905 A167638 this_sequence A145324 A107783 A047887

Adjacent sequences: A054648 A054649 A054650 this_sequence A054652 A054653 A054654

KEYWORD

sign,tabl,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 17 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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