0,6

Row sums = A105479, (1 3, 12, 50, 225,...) A127567 = M * Q

k-th column is comprised solely of A000110(n); where A000110 = the Bell sequence: (1, 1, 2, 5, 15, 52, 203,...). Q * M, as infinite lower triangular matrices; Q = [1; 1, 1; 1, 1, 1;...] and M = the Bell sequence in the main diagonal and the rest zeros.

First few rows of the triangle are:

1;

1, 1;

1, 1, 2;

1, 1, 2, 5;

1, 1, 2, 5, 15;

1, 1, 2, 5, 15, 52;

...

Cf. A105479, A000110, A127567.

Sequence in context: A000361 A135723 A125311 this_sequence A143364 A159046 A029937

Adjacent sequences: A127565 A127566 A127567 this_sequence A127569 A127570 A127571

nonn,tabl,uned

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 19 2007