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Sum of coefficients of forgotten symmetric functions in the Schur function of the integer partition with Heinz number n.
1

%I #4 Nov 21 2018 09:24:24

%S 1,1,1,2,1,3,1,3,4,4,1,7,1,5,8

%N Sum of coefficients of forgotten symmetric functions in the Schur 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 s(32) = f(221) + 2f(2111) + 5f(11111) is a(15) = 8.

%Y Row sums of A321892.

%Y Cf. A000085, A008480, A056239, A082733, A124794, A124795, A153452, A296150, A296188, A300121, A321742-A321765.

%K nonn,more

%O 1,4

%A _Gus Wiseman_, Nov 20 2018