A152431 - OEIS

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

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OFFSET

1,4

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.

LINKS

Table of n, a(n) for n=1..55.

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.

EXAMPLE

First few rows of the triangle =

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;