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.

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

Offset: 1

Author

Gus Wiseman, Sep 14 2018

Keywords

• nonn
• more

Comments

a(1) = 1 by convention.

Is this sequence is nonnegative? If so, is there a combinatorial interpretation?

Examples

			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.
		

Crossrefs

Cf. A000085, A056239, A082733, A124794, A124795, A153452, A296188, A296561, A300121, A304438, A317552, A319191, A319225.