%I #7 Dec 29 2023 10:22:29
%S 1,2,1,1,2,3,2,1,6,6,1,2,3,12,15,2,1,6,6,30,33,1,2,3,12,15,66,78,2,1,
%T 6,6,30,33,156,177,1,2,3,12,15,66,78,354,411,2,1,6,6,30,33,156,177,
%U 822,942
%N Eigentriangle by rows, T(n,k) = A000034(n-k+1)*A105476(k-1).
%C Row sums = A105476: (1, 3, 6, 15, 33, 78,...).
%C Left column = A000034: (1, 2, 1, 2, 1, 2,...).
%C Right border = A105476 shifted: (1, 1, 3, 6, 15, 33, 78,...).
%F Eigentriangle by rows, A000034(n-k+1)*A105476(k-1); where A105476(k-1) = A105476 shifted = (1, 1, 3, 6, 15, 33, 78, 177,...).
%e First few rows of the triangle =
%e 1;
%e 2, 1;
%e 1, 2, 3
%e 2, 1, 6, 6
%e 1, 2, 3, 12, 15
%e 2, 1, 6, 6, 30, 33;
%e 1, 2, 3, 12, 15, 66, 78
%e 2, 1, 6, 6, 30, 33, 156, 177;
%e 1, 2, 3, 12, 15, 66, 78, 354, 411;
%e ...
%e Row 4 = (2, 1, 6, 6) = termwise product of (2, 1, 2, 1) and (1, 1, 3, 6) = (2*1, 1*1, 2*3, 1*6).
%Y Cf. A000034, A105476.
%K nonn
%O 1,2
%A _Gary W. Adamson_, Sep 07 2008