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

1,3

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..66.

Wikipedia, Symmetric polynomial

Example

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

Crossrefs

Row sums of A321761.

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

Sequence in context: A038071 A032140 A032044 * A158974 A355659 A152993

Adjacent sequences: A321759 A321760 A321761 * A321763 A321764 A321765

Keyword

nonn

Author

Gus Wiseman, Nov 20 2018

Status

approved