A321893 Sum of coefficients of forgotten symmetric functions in the Schur function of the integer partition with Heinz number n.

1, 1, 1, 2, 1, 3, 1, 3, 4, 4, 1, 7, 1, 5, 8

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..15.

Wikipedia, Symmetric polynomial

Example

The sum of coefficients of s(32) = f(221) + 2f(2111) + 5f(11111) is a(15) = 8.

Crossrefs

Row sums of A321892.

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

Sequence in context: A336887 A163313 A337178 * A308673 A324287 A213594

Adjacent sequences: A321890 A321891 A321892 * A321894 A321895 A321896

Keyword

nonn,more

Author

Gus Wiseman, Nov 20 2018

Status

approved