%I #7 Sep 16 2018 21:35:35
%S 1,1,0,2,1,0,0,4,2,1,1,0,0,0,0,10,1,2,0,2,0,1,1,0,4,0,0,0,0,0
%N Sum of coefficients in the expansion of p(y) in terms of Schur functions, where p is power-sum symmetric functions and y is the integer partition with Heinz number n.
%C a(1) = 1 by convention.
%C Is this sequence is nonnegative? If so, is there a combinatorial interpretation?
%e We have p(33) = s(6) + 2 s(33) - s(51) + 2 s(222) - 2 s(321) + s(411) + s(3111) - s(21111) + s(111111). The coefficients add up to 4, and the Heinz number of (33) is 25, so a(25) = 4.
%Y Cf. A000085, A056239, A082733, A124794, A124795, A153452, A296188, A296561, A300121, A304438, A317552, A319191, A319225.
%K nonn,more
%O 1,4
%A _Gus Wiseman_, Sep 14 2018
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