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Search: id:A054655
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| A054655 |
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Triangle T(n,k) giving coefficients in expansion of n!*binomial(x-n,n) in powers of x. |
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+0
4
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| 1, 1, -1, 1, -5, 6, 1, -12, 47, -60, 1, -22, 179, -638, 840, 1, -35, 485, -3325, 11274, -15120, 1, -51, 1075, -11985, 74524, -245004, 332640, 1, -70, 2086, -34300, 336049, -1961470, 6314664, -8648640, 1, -92, 3682, -83720, 1182769
(list; table; graph; listen)
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OFFSET
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0,5
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FORMULA
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n!*binomial(x-n, n)= Sum T(n, k)*x^(n-k), k=0..n.
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EXAMPLE
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1; 1,-1; 1,-5,6; 1,-12,47,-60; ...
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PROGRAM
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(PARI) T(n, k)=polcoeff(n!*binomial(x-n, n), n-k)
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CROSSREFS
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Cf. A054651, A054654, A008276.
Sequence in context: A113262 A131947 A105577 this_sequence A086745 A086646 A113106
Adjacent sequences: A054652 A054653 A054654 this_sequence A054656 A054657 A054658
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KEYWORD
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sign,tabl,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 18 2000
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