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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
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
1,4
COMMENTS
a(1) = 1 by convention.
Is this sequence is nonnegative? If so, is there a combinatorial interpretation?
EXAMPLE
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.
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Sep 14 2018
STATUS
approved