A321889 - OEIS

%I #4 Nov 21 2018 09:24:07

%S 1,1,-1,3,1,-2,-1,10,3,2,1,-7,-1,-2,-2,47,1,6

%N Sum of coefficients of forgotten symmetric functions in the power sum symmetric function of the integer partition with Heinz number n.

%C The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>

%e The sum of coefficients of p(211) = -f(4) - 2f(22) - 2f(31) - 2f(211) is a(12) = -7.

%Y Row sums of A321888. An unsigned version is A321751.

%Y Cf. A005651, A008277, A008480, A048994, A056239, A124794, A124795, A319182, A319191, A319193, A321742-A321765.

%K sign,more

%O 1,4

%A _Gus Wiseman_, Nov 20 2018