A321764 Sum of coefficients of Schur functions in the monomial symmetric function of the integer partition with Heinz number n.

1, 1, 0, 1, 1, -1, 0, 1, 1, 1, 1, -2, 0, -1, -1, 1, 1, 2

Offset

1,12

Comments

The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).

Links

Table of n, a(n) for n=1..18.

Wikipedia, Symmetric polynomial

Example

The sum of coefficients of m(41) = -s(32) + s(41) + s(221) - s(311) + s(2111) - 2s(11111) is a(14) = -1.

Crossrefs

Row sums of A321763.

Cf. A000085, A008480, A056239, A082733, A124794, A124795, A153452, A296150, A296188, A300121, A317554, A321742-A321765.

Sequence in context: A284977 A025916 A212211 * A333809 A306440 A350723

Adjacent sequences: A321761 A321762 A321763 * A321765 A321766 A321767

Keyword

sign,more

Author

Gus Wiseman, Nov 20 2018

Status

approved