A321889 Sum of coefficients of forgotten symmetric functions in the power sum symmetric function of the integer partition with Heinz number n.

1, 1, -1, 3, 1, -2, -1, 10, 3, 2, 1, -7, -1, -2, -2, 47, 1, 6

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..18.

Wikipedia, Symmetric polynomial

Example

The sum of coefficients of p(211) = -f(4) - 2f(22) - 2f(31) - 2f(211) is a(12) = -7.

Crossrefs

Row sums of A321888. An unsigned version is A321751.

Cf. A005651, A008277, A008480, A048994, A056239, A124794, A124795, A319182, A319191, A319193, A321742-A321765.

Sequence in context: A249580 A340147 A011086 * A321751 A364906 A188584

Adjacent sequences: A321886 A321887 A321888 * A321890 A321891 A321892

Keyword

sign,more

Author

Gus Wiseman, Nov 20 2018

Status

approved