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%I #22 Jan 06 2017 08:32:00
%S 1,1,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1,1,1,1,2,1,1,1,1,0,0,0,1,1,1,1,1,1,
%T 1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,
%U 1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,0,0,0,0,0,0
%N Triangle read by rows in which row n lists the widths in the first octant of the symmetric representation of sigma(n).
%C For the definition of k-th width of the symmetric representation of sigma(n) see A249351.
%C Row n list the first n terms of the n-th row of A249351.
%C It appears that the leading diagonal is also A067742 (which was conjectured by _Michel Marcus_ in the entry A237593 and checked with two Mathematica functions up to n = 100000 by _Hartmut F. W. Hoft_).
%C For more information see A237591, A237593.
%e Triangle begins:
%e 1;
%e 1, 1;
%e 1, 1, 0;
%e 1, 1, 1, 1;
%e 1, 1, 1, 0, 0;
%e 1, 1, 1, 1, 1, 2;
%e 1, 1, 1, 1, 0, 0, 0;
%e 1, 1, 1, 1, 1, 1, 1, 1;
%e 1, 1, 1, 1, 1, 0, 0, 1, 1;
%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 0;
%e 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0;
%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2;
%e 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0;
%e ...
%Y Cf. A000203, A067742, A071562, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A238443, A239660, A239932-A239934, A240542, A241008, A241010, A244360, A244361, A245685, A246955, A246956, A247687, A249223, A249351, A250068, A250070, A250071.
%K nonn,tabl
%O 1,21
%A _Omar E. Pol_, Oct 26 2014
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