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A101752
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Table (read by rows) giving the coefficients of sum formulas of n-th Left factorials (A003422). The k-th row (k>=1) contains T(i,k) for i=1 to k+1, where k=[2*n+1+(-1)^(n-1)]/4 and T(i,k) satisfies !n = Sum_{i=1..k+1} T(i,k) * n^(k-i+1) / k!.
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7
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1, 0, 1, 5, -16, 8, 69, -767, 1314, 117, 1774, -30405, 78914, 69024
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OFFSET
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1,4
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LINKS
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Table of n, a(n) for n=1..14.
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EXAMPLE
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!7 = 874; substituting n=7 in the formula of the k-th row we obtain k=4 and the coefficients
T(i,4) will be the following: 117,1774,-30405,78914,69024, => !7 = [ 117*7^4 +1774*7^3 -30405*7^2 +78914*7 +69024 ]/4! = 874.
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CROSSREFS
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Cf. A094638, A094216, A003422, A008276, A101751, A000142, A101559, A101032, A099731.
Sequence in context: A043295 A063927 A195869 * A332474 A195866 A075805
Adjacent sequences: A101749 A101750 A101751 * A101753 A101754 A101755
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KEYWORD
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sign,tabl
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AUTHOR
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André F. Labossière, Dec 17 2004
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STATUS
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approved
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