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Column 0 of triangle A106342, which is the matrix inverse of the triangle A008278 of Stirling numbers of 2nd kind.
1

%I #3 Mar 30 2012 18:36:46

%S 1,-1,2,-9,94,-2220,114456,-12542341,2868686486,-1352689963470,

%T 1303841598115220,-2553657953434195806,10119516065845068051324,

%U -80887691741489094086813370,1301256069443123826666772275060,-42062318857764855463647559458896325

%N Column 0 of triangle A106342, which is the matrix inverse of the triangle A008278 of Stirling numbers of 2nd kind.

%o (PARI) {a(n)=(matrix(n+1,n+1,r,c,if(r>=c, sum(m=0,r-c+1,(-1)^(r-c+1-m)*m^r/m!/(r-c+1-m)!)))^-1)[n+1,1]}

%Y Cf. A106342, A008278.

%K sign

%O 0,3

%A _Paul D. Hanna_, May 01 2005