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Sum of coefficients of Schur functions in the elementary symmetric function of the integer partition with Heinz number n.
2

%I #5 Nov 20 2018 16:31:23

%S 1,1,1,2,1,2,1,4,3,2,1,5,1,2,3,10,1,7,1,5,3,2,1,13,4,2,11,5,1,8,1,26,

%T 3,2,4,20,1,2,3,14,1,8,1,5,13,2,1,38,5,10,3,5,1,32,4,14,3,2,1,23

%N Sum of coefficients of Schur functions in the elementary 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 e(221) = s(32) + 2s(221) + s(311) + 2s(2111) + s(11111) is a(18) = 7.

%Y Row sums of A321756.

%Y Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296150, A296188, A300121, A304438, A317552, A321742-A321765.

%K nonn,more

%O 1,4

%A _Gus Wiseman_, Nov 20 2018