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%I #22 Jun 24 2018 11:23:03
%S 1,3,4,7,6,0,12,8,15,13,18,12,0,28,14,24,0,24,31,18,39,20,0,42,32,36,
%T 24,0,60,31,42,40,0,56,30,0,72,32,63,48,54,0,48,91,38,60,56,0,90,42,0,
%U 96,44,84,0,78,72,48,0,124,57,93,72,98,54,0,120,72,0,120,80,90,60,0,168,62,96,0,104,127,84,0
%N Irregular triangle read by rows in which row n lists the total sum of the divisors of all numbers k such that the largest Dyck path of the symmetric representation of sigma(k) contains the point (n,n); or row n is 0 if no such k exists.
%F T(n,m) = A000203(A279385(n,m) if A279385(n,m) > 0, otherwise T(n,m) = 0.
%e Triangle begins:
%e 1;
%e 3, 4;
%e 7, 6;
%e 0;
%e 12, 8;
%e 15;
%e 13, 18, 12;
%e 0;
%e 28, 14, 24;
%e 0;
%e 24;
%e 31, 18;
%e 39, 20;
%e 0;
%e 42, 32, 36, 24;
%e 0;
%e ...
%Y Nonzero terms give A000203.
%Y Row sums give A299472.
%Y Cf. A259179(n) is the number of positive terms in row n.
%Y Cf. A071562, A196020, A235791, A236104, A237048, A237591, A237593, A240542, A244050, A245092, A276112, A277437, A279286, A279385, A280919, A280223, A282131, A282197, A280295, A281012.
%K nonn,tabf
%O 1,2
%A _Omar E. Pol_, Feb 19 2018
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