A321757 Sum of coefficients of Schur functions in the elementary symmetric function of the integer partition with Heinz number n.

1, 1, 1, 2, 1, 2, 1, 4, 3, 2, 1, 5, 1, 2, 3, 10, 1, 7, 1, 5, 3, 2, 1, 13, 4, 2, 11, 5, 1, 8, 1, 26, 3, 2, 4, 20, 1, 2, 3, 14, 1, 8, 1, 5, 13, 2, 1, 38, 5, 10, 3, 5, 1, 32, 4, 14, 3, 2, 1, 23

Offset: 1

Author

Gus Wiseman, Nov 20 2018

Keywords

• nonn
• more

Comments

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

Examples

			The sum of coefficients of e(221) = s(32) + 2s(221) + s(311) + 2s(2111) + s(11111) is a(18) = 7.
		

Links

• Wikipedia, Symmetric polynomial

Crossrefs

Row sums of A321756.

Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296150, A296188, A300121, A304438, A317552, A321742-A321765.