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%I #9 Mar 05 2013 21:00:29
%S 1,1,2,1,1,3,2,1,1,1,2,4,3,1,1,1,1,1,2,5,2,2,4,3,1,1,1,1,1,1,1,2,2,3,
%T 6,3,2,5,4,1,1,1,1,1,1,1,1,1,1,1,2,2,3,7,2,2,4,3,2,2,3,6,5,4,1,1,1,1,
%U 1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,4,8
%N Triangle read by rows: T(j,k) in which row j lists the parts in nondecreasing order of the j-th region of the set of partitions of n, with 1<=j<=A000041(n).
%C For the definition of "region" of the set of partitions of n see A206437.
%e First 15 rows of the irregular triangle are
%e 1;
%e 1, 2;
%e 1, 1, 3;
%e 2;
%e 1, 1, 1, 2, 4;
%e 3;
%e 1, 1, 1, 1, 1, 2, 5;
%e 2;
%e 2, 4;
%e 3;
%e 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 6;
%e 3;
%e 2, 5;
%e 4;
%e 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 7;
%Y Positive terms of A186114. Mirror of A206437.
%Y Row j has length A194446(j). Row sums give A186412.
%Y Cf. A135010, A141285, A193870.
%K nonn,tabf
%O 1,3
%A _Omar E. Pol_, Jan 27 2013
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