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%I A321759 #5 Nov 20 2018 19:45:45
%S A321759 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 A321759 0,0,0,1,1,2,1,0
%N A321759 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 A321759 Row n has length A000041(A056239(n)).
%C A321759 The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%H A321759 Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>
%e A321759 Triangle begins:
%e A321759    1
%e A321759    1
%e A321759    1   0
%e A321759    1   1
%e A321759    1   0   0
%e A321759    1   1   0
%e A321759    1   0   0   0   0
%e A321759    1   2   1
%e A321759    1   1   1   0   0
%e A321759    1   0   1   0   0
%e A321759    1   0   0   0   0   0   0
%e A321759    1   1   2   1   0
%e A321759 For example, row 12 gives: h(211) = s(4) + s(22) + 2s(31) + s(211).
%Y A321759 Row sums are A321757.
%Y A321759 Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296188, A300121, A321742-A321765.
%K A321759 nonn,more,tabf
%O A321759 1,19
%A A321759 _Gus Wiseman_, Nov 20 2018

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