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%I #5 Mar 30 2012 17:25:39
%S 1,1,1,2,2,1,5,5,2,1,13,13,6,2,1,35,35,16,7,2,1,96,96,45,19,8,2,1,267,
%T 267,126,56,22,9,2,1,750,750,357,160,68,25,10,2,1,2123,2123,1016,463,
%U 198,81,28,11,2,1,6046,6046,2907,1337,586,240,95,31,12,2,1
%N Triangle by rows relating to A005773
%C Left border = A005773. Row sums = A005773 with offset 1
%F n-th row of the triangle is the top row of M^n, deleting the zeros; where M = the infinite square production matrix:
%F 1, 1, 0, 0, 0, 0, 0,...
%F 1, 1, 1, 0, 0, 0, 0,...
%F 1, 1, 0, 1, 0, 0, 0,...
%F 1, 1, 1, 0, 1, 0, 0,...
%F 1, 1, 1, 1, 0, 1, 0,...
%F 1, 1, 1, 1, 1, 0, 1,...
%F 1, 1, 1, 1, 1, 1, 0,...
%F ...
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 2, 2, 1;
%e 5, 5, 2, 1;
%e 13, 13, 6, 2, 1;
%e 35, 35, 16, 7, 2, 1;
%e 96, 96, 45, 19, 8, 2, 1;
%e 267, 267, 126, 56, 22, 9, 2, 1;
%e 750, 750, 357, 160, 68, 25, 10, 2, 1;
%e 2123, 2123, 1016, 463, 198, 81, 28, 11, 2, 1;
%e 6046, 6046, 2907, 1337, 586, 240, 95, 31, 12, 2, 1;
%e ...
%e Row 3 = (5, 5, 2, 1) since the top row of M^3 = [5, 5, 2, 1, 0, 0, 0,...]
%Y Cf. A005773
%K nonn,tabl
%O 0,4
%A _Gary W. Adamson_, Jan 19 2012
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