cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A321888 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of f(v) in p(u), where H is Heinz number, p is power sum symmetric functions, and f is forgotten symmetric functions.

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%I A321888 #5 Nov 21 2018 09:24:00
%S A321888 1,1,-1,0,1,2,1,0,0,-1,-1,0,-1,0,0,0,0,1,3,6,1,2,0,0,0,1,0,1,0,0,1,0,
%T A321888 0,0,0,0,0,-1,-2,-2,-2,0,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,-1,0,
%U A321888 -1,0,0,0,0,1,6,4,12,24,1,0,0,0,0,0,0,0,0,0
%N A321888 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of f(v) in p(u), where H is Heinz number, p is power sum symmetric functions, and f is forgotten symmetric functions.
%C A321888 Row n has length A000041(A056239(n)).
%C A321888 The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%C A321888 Up to sign, a(n) is also the coefficient of m(v) in p(u), where m is monomial symmetric functions.
%H A321888 Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>
%e A321888 Triangle begins:
%e A321888    1
%e A321888    1
%e A321888   -1   0
%e A321888    1   2
%e A321888    1   0   0
%e A321888   -1  -1   0
%e A321888   -1   0   0   0   0
%e A321888    1   3   6
%e A321888    1   2   0   0   0
%e A321888    1   0   1   0   0
%e A321888    1   0   0   0   0   0   0
%e A321888   -1  -2  -2  -2   0
%e A321888   -1   0   0   0   0   0   0   0   0   0   0
%e A321888   -1  -1   0   0   0   0   0
%e A321888   -1   0  -1   0   0   0   0
%e A321888    1   6   4  12  24
%e A321888    1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
%e A321888    1   1   2   2   0   0   0
%e A321888 For example, row 12 gives: p(211) = -f(4) - 2f(22) - 2f(31) - 2f(211).
%Y A321888 Row sums are A321889.
%Y A321888 Cf. A005651, A008277, A008480, A048994, A056239, A124794, A124795, A319182, A319193, A321742-A321765.
%K A321888 sign,tabf
%O A321888 1,6
%A A321888 _Gus Wiseman_, Nov 20 2018