A321762 Sum of coefficients of monomial symmetric functions in the Schur function of the integer partition with Heinz number n.

1, 1, 2, 1, 3, 3, 5, 1, 4, 7, 7, 4, 11, 13, 12, 1, 15, 8, 22, 11, 30, 24, 30, 5, 14, 39, 9, 25, 42, 33, 56, 1, 59, 64, 47, 13, 77, 98, 113, 16, 101, 90, 135, 50, 43, 150, 176, 6, 53, 48, 195, 94, 231, 22, 119, 41, 331, 219, 297, 62, 385, 322, 141, 1, 250, 211

Offset: 1

Author

Gus Wiseman, Nov 20 2018

Keywords

• nonn

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 s(41) = m(32) + m(41) + 2m(221) + 2m(311) + 3m(2111) + 4m(11111) is a(14) = 13.
		

Links

• Wikipedia, Symmetric polynomial

Crossrefs

Row sums of A321761.

Cf. A000085, A008480, A056239, A124794, A124795, A153452, A296150, A296188, A300121, A319193, A321742-A321765.