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%I #5 Nov 21 2018 09:24:17
%S 1,1,0,1,1,1,0,0,1,0,1,2,0,0,0,0,1,1,1,1,0,1,0,1,2,0,0,0,1,3,0,0,0,0,
%T 0,0,1,0,1,1,2,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,4,0,0,0,1,0,2,5
%N Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of f(v) in s(u), where H is Heinz number, f is forgotten 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 0 1
%e 1 1
%e 0 0 1
%e 0 1 2
%e 0 0 0 0 1
%e 1 1 1
%e 0 1 0 1 2
%e 0 0 0 1 3
%e 0 0 0 0 0 0 1
%e 0 1 1 2 3
%e 0 0 0 0 0 0 0 0 0 0 1
%e 0 0 0 0 0 1 4
%e 0 0 0 1 0 2 5
%e For example, row 15 gives: s(32) = f(221) + 2f(2111) + 5f(11111).
%Y Row sums are A321893.
%Y Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296188, A300121, A321742-A321765.
%K nonn,more,tabf
%O 1,12
%A _Gus Wiseman_, Nov 20 2018
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