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.

A321750 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of m(v) in p(u), where H is Heinz number, m is monomial symmetric functions, and p is power sum symmetric functions.

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%I A321750 #6 Nov 20 2018 16:30:31
%S A321750 1,1,1,0,1,2,1,0,0,1,1,0,1,0,0,0,0,1,3,6,1,2,0,0,0,1,0,1,0,0,1,0,0,0,
%T A321750 0,0,0,1,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,
%U A321750 6,4,12,24,1,0,0,0,0,0,0,0,0,0,0,0,0,0
%N A321750 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of m(v) in p(u), where H is Heinz number, m is monomial symmetric functions, and p is power sum symmetric functions.
%C A321750 Row n has length A000041(A056239(n)).
%C A321750 The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%H A321750 Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>
%e A321750 Triangle begins:
%e A321750    1
%e A321750    1
%e A321750    1   0
%e A321750    1   2
%e A321750    1   0   0
%e A321750    1   1   0
%e A321750    1   0   0   0   0
%e A321750    1   3   6
%e A321750    1   2   0   0   0
%e A321750    1   0   1   0   0
%e A321750    1   0   0   0   0   0   0
%e A321750    1   2   2   2   0
%e A321750    1   0   0   0   0   0   0   0   0   0   0
%e A321750    1   1   0   0   0   0   0
%e A321750    1   0   1   0   0   0   0
%e A321750    1   6   4  12  24
%e A321750    1   0   0   0   0   0   0   0   0   0   0   0   0   0   0
%e A321750    1   1   2   2   0   0   0
%e A321750 For example, row 18 gives: p(221) = m(5) + 2m(32) + m(41) + 2m(221).
%Y A321750 Row sums are A321751.
%Y A321750 Cf. A005651, A008277, A008480, A048994, A056239, A124794, A124795, A319182, A319191, A321742-A321765.
%K A321750 nonn,tabf
%O A321750 1,6
%A A321750 _Gus Wiseman_, Nov 20 2018