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

1,4

Comments

a(1) = 1 by convention.

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

Links

Table of n, a(n) for n=1..30.

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.

Crossrefs

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

Sequence in context: A325773 A220779 A347928 * A089975 A034366 A121465

Adjacent sequences: A317551 A317552 A317553 * A317555 A317556 A317557

Keyword

nonn,more

Author

Gus Wiseman, Sep 14 2018

Status

approved