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A081103 Alternating sum of first three Stirling numbers of the first kind. 0
0, 1, -4, 18, -95, 584, -4123, 32969, -294992, 2922956, -31791716, 376719892, -4832017320, 66713229192, -986611705584, 15561976320144, -260804276106624, 4628322010931328, -86710491660063744, 1710290952899283456, -35427639035553292800, 768970029545198092800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..21.

FORMULA

a(n) = s(n, 1)-s(n, 2)+s(n, 3), s(n, m)= signed Stirling numbers of the first kind. E.g.f. (1+x)^(-1)*(log(1+x)-log(1+x)^2/2+log(1+x)^3/6

CROSSREFS

Cf. A000399, A081052, A081046.

Sequence in context: A059227 A259533 A305239 * A243325 A005777 A180567

Adjacent sequences:  A081100 A081101 A081102 * A081104 A081105 A081106

KEYWORD

easy,sign

AUTHOR

Paul Barry, Mar 05 2003

STATUS

approved

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Last modified May 7 18:13 EDT 2021. Contains 343652 sequences. (Running on oeis4.)