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A321757 Sum of coefficients of Schur functions in the elementary symmetric function of the integer partition with Heinz number n. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 28 14:19 EDT 2021. Contains 346335 sequences. (Running on oeis4.)