%I #5 Nov 20 2018 19:45:45

%S 1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,

%T 0,0,0,1,1,2,1,0

%N Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in h(u), where H is Heinz number, h is homogeneous symmetric functions, and s is Schur functions.

%C Row n has length A000041(A056239(n)).

%C The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>

%e Triangle begins:

%e 1

%e 1

%e 1 0

%e 1 1

%e 1 0 0

%e 1 1 0

%e 1 0 0 0 0

%e 1 2 1

%e 1 1 1 0 0

%e 1 0 1 0 0

%e 1 0 0 0 0 0 0

%e 1 1 2 1 0

%e For example, row 12 gives: h(211) = s(4) + s(22) + 2s(31) + s(211).

%Y Row sums are A321757.

%Y Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296188, A300121, A321742-A321765.

%K nonn,more,tabf

%O 1,19

%A _Gus Wiseman_, Nov 20 2018