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A156667 Triangle read by rows, A156663 * (A001045 * 0^(n-k)).

%I A156667 #5 May 08 2022 21:05:49
%S A156667 1,0,1,2,0,1,0,2,0,3,4,0,2,0,5,0,4,0,6,0,11,8,0,4,0,10,0,21,0,8,0,12,
%T A156667 0,22,0,43,16,0,8,0,20,0,42,0,85,0,16,0,24,0,44,0,86,0,171,32,0,16,0,
%U A156667 40,0,84,0,170,0,341
%N A156667 Triangle read by rows, A156663 * (A001045 * 0^(n-k)).
%C A156667 Row sums = A001045 starting with offset 1: (1, 1, 3, 5, 11, 21, 43, ...).
%C A156667 As an eigentriangle, row sums = rightmost term of next row.
%F A156667 Triangle read by rows, A156663 * (an infinite lower triangular matrix with A001045 as the main diagonal and the rest zeros).
%e A156667 First few rows of the triangle =
%e A156667 1;
%e A156667 0, 1;
%e A156667 2, 0, 1;
%e A156667 0, 2, 0, 3;
%e A156667 4, 0, 2, 0, 5;
%e A156667 0, 4, 0, 6, 0, 11;
%e A156667 8, 0, 4, 0, 10, 0, 21;
%e A156667 0, 8, 0, 12, 0, 22, 0, 43;
%e A156667 16, 0, 8, 0, 20, 0, 42, 0, 85;
%e A156667 0, 16, 0, 24, 0, 44, 0, 86, 0, 171;
%e A156667 32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341;
%e A156667 0, 32, 0, 48, 0, 88, 0, 172, 0, 342, 0, 683;
%e A156667 ...
%e A156667 Row 4 = (4, 0, 2, 0, 5) = termwise products of (4, 0, 2, 0, 1) and (1, 1, 1, 3, 5)
%Y A156667 Cf. A156663, A001045.
%K A156667 nonn,tabl
%O A156667 0,4
%A A156667 _Gary W. Adamson_, Feb 12 2009