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%I #3 Mar 30 2012 18:36:45
%S 1,1,1,3,3,1,16,16,6,1,127,127,49,10,1,1363,1363,531,115,15,1,18628,
%T 18628,7286,1615,230,21,1,311250,311250,121964,27321,4040,413,28,1,
%U 6173791,6173791,2421471,545311,82131,8841,686,36,1,142190703,142190703
%N Triangle, read by rows, equal to the matrix inverse of A104416, where A104416(n,k) = A008275(k+1,n-k+1) (Stirling numbers of the first kind).
%C Column 0 and column 1 contain A082161.
%e Column 0 forms A082161 that satisfies:
%e 1 = (1-x) + 1*x*(1-x)(1-2x) + 3*x^2*(1-x)(1-2x)(1-3x) +
%e + 16*x^3*(1-x)(1-2x)(1-3x)(1-4x) + ...
%e + A082161(n+1)*x^n*(1-x)(1-2x)(1-3x)*..*(1-(n+1)*x) + ...
%e this g.f. can be derived from the matrix inverse, A104416.
%e Rows begin:
%e 1;
%e 1,1;
%e 3,3,1;
%e 16,16,6,1;
%e 127,127,49,10,1;
%e 1363,1363,531,115,15,1;
%e 18628,18628,7286,1615,230,21,1;
%e 311250,311250,121964,27321,4040,413,28,1; ...
%o (PARI)
%Y Cf. A104416, A082161.
%K nonn,tabl
%O 0,4
%A _Paul D. Hanna_, Mar 06 2005
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