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Triangle read by rows, A000012^(-1) * A152431
1

%I #2 Mar 30 2012 17:25:33

%S 1,0,1,1,0,2,4,1,0,5,16,4,2,0,15,70,16,8,5,0,52,334,70,32,20,15,0,203,

%T 1720,334,140,80,60,52,0,877,9478,1720,668,350,240,208,203,0,4140,

%U 55522,9478,3440,1670,1050,832,812,877,0,21147

%N Triangle read by rows, A000012^(-1) * A152431

%C Row sums = A005493 prefaced with a 1; (1, 1, 3, 10, 37, 151,...).

%C Right border = Bell numbers, A000110.

%F A000012^(-2) * A152431 as infinite lower triangular matrices, where A000012^(-1) = the pairwise difference operator.

%e First few rows of the triangle =

%e 1;

%e 0, 1;

%e 1, 0, 2;

%e 4, 1, 0, 5;

%e 16, 4, 2, 0, 15;

%e 70, 16, 8, 5, 0, 52;

%e 334, 70, 32, 20, 15, 0, 203;

%e 1720, 334, 140, 80, 60, 52, 0, 877;

%e 9478, 1720, 668, 350, 240, 208, 203, 0, 4140;

%e 55522, 9478, 3440, 1670, 1050, 832, 812, 877, 0, 21147;

%e ...

%Y A152431, A005493

%K nonn,tabl

%O -1,6

%A _Gary W. Adamson_, Dec 04 2008