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Sum of coefficients of monomial symmetric functions in the forgotten symmetric function of the integer partition with Heinz number n.
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%I #6 Nov 20 2018 19:46:34

%S 1,1,-1,2,1,-3,-1,3,2,3,1,-8,-1,-3,-3,5,1,7,-1,7,3,3,1,-15

%N Sum of coefficients of monomial symmetric functions in the forgotten symmetric function of the integer partition with Heinz number 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 The sum of coefficients of m(221) = 3m(5) + 2m(32) + m(41) + m(221) is a(18) = 7.

%Y Row sums of A321886.

%Y Cf. A005651, A008277, A008480, A056239, A124794, A124795, A296150, A319182, A319193, A321742-A321765.

%K sign,more

%O 1,4

%A _Gus Wiseman_, Nov 20 2018