A081049 Generalized Stirling numbers of the first kind.
1, 0, 5, -5, 74, -154, 2484, -8028, 149904, -663696, 14257440, -80627040, 1965444480, -13575738240, 370643938560, -3031488633600, 91657072281600, -867718162483200, 28779361764249600, -309920046408806400, 11185850044938240000, -135153868608460800000
Offset: 0
Links
- Robert Israel, Table of n, a(n) for n = 0..449
Programs
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Maple
E:= 1/(1-x) - ln(1+x)/(1+x): S:= series(E,x,51): seq(coeff(S,x,n)*n!, n=0..50); # Robert Israel, Nov 23 2020
Formula
a(n) = n!*(1 + Sum {k=1..n, (-1)^n*1/k}).
E.g.f.: 1/(1-x) - log(1+x)/(1+x). - Robert Israel, Nov 23 2020