

A101752


Table (read by rows) giving the coefficients of sum formulas of nth Left factorials (A003422). The kth row (k>=1) contains T(i,k) for i=1 to k+1, where k=[2*n+1+(1)^(n1)]/4 and T(i,k) satisfies !n = Sum_{i=1..k+1} T(i,k) * n^(ki+1) / k!.


7



1, 0, 1, 5, 16, 8, 69, 767, 1314, 117, 1774, 30405, 78914, 69024
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OFFSET

1,4


LINKS

Table of n, a(n) for n=1..14.


EXAMPLE

!7 = 874; substituting n=7 in the formula of the kth 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.


CROSSREFS

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


KEYWORD

sign,tabl


AUTHOR

André F. Labossière, Dec 17 2004


STATUS

approved



