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A317554 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. 14

%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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Last modified March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)