

A321893


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


1



1, 1, 1, 2, 1, 3, 1, 3, 4, 4, 1, 7, 1, 5, 8
(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..15.
Wikipedia, Symmetric polynomial


EXAMPLE

The sum of coefficients of s(32) = f(221) + 2f(2111) + 5f(11111) is a(15) = 8.


CROSSREFS

Row sums of A321892.
Cf. A000085, A008480, A056239, A082733, A124794, A124795, A153452, A296150, A296188, A300121, A321742A321765.
Sequence in context: A336887 A163313 A337178 * A308673 A324287 A213594
Adjacent sequences: A321890 A321891 A321892 * A321894 A321895 A321896


KEYWORD

nonn,more


AUTHOR

Gus Wiseman, Nov 20 2018


STATUS

approved



