%I #7 Jun 03 2016 06:54:57
%S 1,0,1,1,-1,2,2,2,-4,5,7,0,8,-15,15,26,7,-8,35,-60,52,109,19,22,-55,
%T 165,-260,203,500,90,16,110,-330,832,-1218,877,2485,410,164,-70,660,
%U -1976,4466,-6139,4140,13262,2075,656,480,-870,4264,-12180,25433,-33120,21147
%N Triangle read by rows, inverse binomial transform of A152431.
%C Row sums = the Bell numbers, A000110: (1, 1, 2, 5, 15, 52, 203,...).
%F A007318^(-1) * A152431 as infinite lower triangular matrices.
%e First few rows of the triangle =
%e 1;
%e 0, 1;
%e 1, -1, 2;
%e 2, 2, -4, 5;
%e 7, 0, 8, -15, 15;
%e 26, 7, -8, 35, -60, 52;
%e 109, 19, 22, -55, 165, -260, 203;
%e 500, 90, 16, 110, -330, 832, -1218, 877;
%e 2485, 410, 164, -70, 660, -1976, 4466, -6139, 4140;
%e 13262, 2075, 656, 480, -870, 4264, -12180, 25433, -33120, 21147;
%e ...
%Y Cf. A152431, A000110
%K tabl,sign
%O 0,6
%A _Gary W. Adamson_, Dec 04 2008