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%I #9 Jan 22 2023 09:16:30
%S 1,2,1,4,1,3,8,2,3,8,16,4,6,8,21,32,8,12,16,21,55,64,16,24,32,42,55,
%T 144,128,32,48,64,84,110,144,377,256,64,96,128,168,220,288,377,987
%N Triangle by rows, A137710 * a diagonalized variant of A001906.
%C Row sums = the even-indexed Fibonacci numbers starting (1, 3, 8, 21, ...).
%C Triangle A137710 has (1, 2, 4, 8, 16, ...) as the left border with all other columns = (1, 1, 2, 4, 8, 16,...). The eigensequence of this triangle = the odd-indexed Fibonacci numbers: (1, 3, 8, 21, 55, ...).
%C Row sums of n-th row = rightmost term of next row.
%F Let triangle A137710 = M as an infinite lower triangular matrix, with Q = a diagonalized variant of A001906 (1, 1, 3, 8, 21, 55,... as the main diagonal and the rest zeros). This triangle = M*Q.
%e First few rows of the triangle:
%e 1;
%e 2, 1;
%e 4, 1, 3;
%e 8, 2, 3, 8;
%e 16, 4, 6, 8, 21;
%e 32, 8, 12, 16, 21, 55;
%e 64, 16, 24, 32, 42, 55, 144;
%e 128, 32, 48, 64, 84, 110, 144, 377;
%e 256, 64, 96, 128, 168, 220, 288, 377, 987;
%e 512, 128, 192, 256, 336, 440, 576, 754, 987, 2584;
%e ...
%Y Cf. A137710, A001906.
%K nonn,tabl,more
%O 0,2
%A _Gary W. Adamson_, Aug 28 2010
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