0,9

Rows tend to the factorials: (1, 1, 2, 6, 24,...). Row sums = A130476: (1, 2, 3, 5, 8, 15, 28, 61, 132,...).

Let A130460 = M, an infinite lower triangular matrix and V = [1, 1, 1,...], the first row of an array. Peform M * V = second row,...; (n+1)-th row = M * n-th row. The triangle = antidiagonals of the array.

The array =

1,...1,...1,...1,....1,....1,...

1,...1,...2,...3,....4,....5,...

1,...1,...2,...6,...12,...20,...

1,...1,...2,...6,...24,...60,...

1,...1,...2,...6,...24,..120,...

1,...1,...2,...6,...24,..120,...

...

First few rows of the triangle are:

1;

1, 1;

1, 1, 1;

1, 1, 2, 1;

1, 1, 2, 3, 1;

1, 1, 2, 6, 4, 1;

1, 1, 2, 6, 12, 5, 1;

1, 1, 2, 6, 24, 20, 6, 1;

1, 1, 2, 6, 24, 60, 30, 7, 1;

...

Cf. A130460, A130476, A130477, A130478.

Sequence in context: A054124 A144406 A096670 this_sequence A130777 A046854 A066170

Adjacent sequences: A130458 A130459 A130460 this_sequence A130462 A130463 A130464

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 28 2007