A321887 Sum of coefficients of monomial symmetric functions in the forgotten symmetric function of the integer partition with Heinz number n.

1, 1, -1, 2, 1, -3, -1, 3, 2, 3, 1, -8, -1, -3, -3, 5, 1, 7, -1, 7, 3, 3, 1, -15

Offset

1,4

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..24.

Wikipedia, Symmetric polynomial

Example

The sum of coefficients of m(221) = 3m(5) + 2m(32) + m(41) + m(221) is a(18) = 7.

Crossrefs

Row sums of A321886.

Cf. A005651, A008277, A008480, A056239, A124794, A124795, A296150, A319182, A319193, A321742-A321765.

Sequence in context: A353338 A319149 A344462 * A046051 A025812 A263001

Adjacent sequences: A321884 A321885 A321886 * A321888 A321889 A321890

Keyword

sign,more

Author

Gus Wiseman, Nov 20 2018

Status

approved