0,5

Row sums = A002605: (1, 2, 6, 16, 44, 120,...)

As a property of eigentriangles, sum of row terms = rightmost term of next row.

Triangle read by rows, A123191 * (A002605 * (A002605 * 0^(n-k)). A123191 is

unsigned, (A002605 * 0^(n-k))= an infinite lower triangular matrix with

A002605 as the main diagonal prefaced with a 1: (1, 1, 2, 6, 16, 44,...)

and the rest zeros.

First few rows of the triangle =

1;

1, 1;

1, 3, 2;

1, 3, 6, 6;

1, 3, 6, 18, 16;

1, 3, 6, 18, 48, 44;

1, 3, 6, 18, 48, 132, 120;

1, 3, 6, 18, 48, 132, 360, 328;

1, 3, 6, 18, 48, 132, 360, 984, 896;

1, 3, 6, 18, 48, 132, 360, 984, 2688, 2448;

1, 3, 6, 18, 48, 132, 360, 984, 2688, 7344, 6688;

...

Cf. A002605, A123191

Sequence in context: A094644 A113046 A133825 this_sequence A114588 A121745 A089312

Adjacent sequences: A156707 A156708 A156709 this_sequence A156711 A156712 A156713

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 14 2009