0,2

Row sums = A001850, the Delannoy numbers: (1, 3, 13, 63, 321,...).

Sum of n-th row terms = rightmost term of next row.

Triangle read by rows, M*Q. M = an infinite lower triangular matrix with A109980 in every column: (1, 2, 8, 36, 172,...); Q = a matrix with A001850 prefaced with a "1" as the main diagonal: (1, 1, 3, 13, 63, 321,...) and the rest zeros.

First few rows of the triangle =

1;

2, 1;

8, 2, 3;

36, 8, 6, 13;

172, 36, 24, 26, 63;

852, 172, 108, 104, 126, 321;

4324, 852, 516, 468, 504, 642, 1683;

22332, 4324, 2556, 2236, 2268, 2568, 3366, 8989;

116876, 22332, 12972, 11076, 10836, 11556, 13464, 17978, 48639;

...

Row 3 = (36, 8, 6, 13) = termwise products of (36, 8, 2, 1) and (1, 1, 3, 13).

A001850, A109980

Sequence in context: A114706 A046740 A130562 this_sequence A154175 A011208 A001281

Adjacent sequences: A152247 A152248 A152249 this_sequence A152251 A152252 A152253

eigen,nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 30 2008