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

1,4

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..60.

Wikipedia, Symmetric polynomial

Example

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

Crossrefs

Row sums of A321756.

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

Sequence in context: A332741 A052126 A094521 * A159272 A098372 A177236

Adjacent sequences: A321754 A321755 A321756 * A321758 A321759 A321760

Keyword

nonn,more

Author

Gus Wiseman, Nov 20 2018

Status

approved