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Generalized Stirling numbers of the first kind.
1

%I #4 Mar 30 2012 18:58:43

%S 1,0,5,5,74,154,2484,8028,149904,663696,14257440,80627040,1965444480,

%T 13575738240,370643938560,3031488633600,91657072281600,

%U 867718162483200,28779361764249600,309920046408806400,11185850044938240000

%N Generalized Stirling numbers of the first kind.

%F a(n) = s(n, 1) - (-1)^(n+1)*s(n, 2), s(n, m) = signed Stirling numbers of first kind a(n) = abs(n!*(1 + Sum {k=1..n, (-1)^n*1/k} ))

%Y Cf. A081049, A008275.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Mar 05 2003