cp's OEIS Frontend

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

%I A152431 #3 Mar 30 2012 17:25:33
%S A152431 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,
%T A152431 203,2146,426,184,110,90,104,203,877,11624,2146,852,460,330,312,406,
%U A152431 877,4140,67146,11624,4292,2130,1380,1144,1218,1754,4140,21147
%N A152431 Eigentriangle, row sums = A000110, the Bell numbers.
%C A152431 Row sums = the Bell numbers, A000110, starting with offset 1: (1, 2, 5, 15, 52,...).
%C A152431 Left border = A074664 (1, 1, 2, 6, 22 92, 426,...), the INVERTi transform of (1, 2, 5, 15, 52,...).
%C A152431 Sum of n-th row terms = rightmost term of next row.
%F A152431 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.
%e A152431 First few rows of the triangle =
%e A152431 1;
%e A152431 1, 1;
%e A152431 2, 1, 2;
%e A152431 6, 2, 2, 5;
%e A152431 22, 6, 4, 5, 15;
%e A152431 92, 22, 12, 10, 15, 52;
%e A152431 426, 92, 44, 30, 30, 52, 203;
%e A152431 2146, 426, 184, 110, 90, 104, 203, 877;
%e A152431 11624, 2146, 852, 460, 330, 312, 406, 877, 4140;
%e A152431 67146, 11624, 4292, 2130, 1380, 1144, 1218, 1754, 4140, 21147;
%e A152431 411142, 67146, 23248, 10730, 6390, 4784, 4466, 5262, 8280, 21147, 115975;
%e A152431 ...
%e A152431 Row 4 = (6, 2, 2, 5) = termwise products of (6, 2, 1, 1) and (1, 1, 2, 5).
%Y A152431 A000110, A074664
%K A152431 eigen,nonn,tabl
%O A152431 1,4
%A A152431 _Gary W. Adamson_, Dec 04 2008