A152431 Eigentriangle, row sums = A000110, the Bell numbers.

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

Offset: 1

Author

Gary W. Adamson, Dec 04 2008

Keywords

• eigen
• nonn
• tabl

Comments

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.

Examples

			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).
		

Crossrefs

A000110, A074664

Formula

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.