1,4

Row sums = the Bell numbers, A000110, starting with offset 1: (1, 2, 5, 15, 52,...).

Left border = A074664 (1, 1, 2, 6, 22 92, 426,...), the INVERTi transform of (1, 2, 5, 15, 52,...).

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

Triangle read by rows, M*Q. M = an infinite lower triangular matrix with A074664 in every column: (1, 1, 2, 6, 22, 92, 426,...). Q = a matrix with the Bell numbers (1, 1, 2, 5, 15,...) as the main diagonal and the rest zeros.

First few rows of the triangle =

1;

1, 1;

2, 1, 2;

6, 2, 2, 5;

22, 6, 4, 5, 15;

92, 22, 12, 10, 15, 52;

426, 92, 44, 30, 30, 52, 203;

2146, 426, 184, 110, 90, 104, 203, 877;

11624, 2146, 852, 460, 330, 312, 406, 877, 4140;

67146, 11624, 4292, 2130, 1380, 1144, 1218, 1754, 4140, 21147;

411142, 67146, 23248, 10730, 6390, 4784, 4466, 5262, 8280, 21147, 115975;

...

Row 4 = (6, 2, 2, 5) = termwise products of (6, 2, 1, 1) and (1, 1, 2, 5).

A000110, A074664

Sequence in context: A133643 A008305 A133644 this_sequence A143965 A098361 A050977

Adjacent sequences: A152428 A152429 A152430 this_sequence A152432 A152433 A152434

eigen,nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 04 2008