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.

A321759 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in h(u), where H is Heinz number, h is homogeneous symmetric functions, and s is Schur functions.

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%I A321759 #5 Nov 20 2018 19:45:45
%S A321759 1,1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0,1,2,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0,
%T A321759 0,0,0,1,1,2,1,0
%N A321759 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of s(v) in h(u), where H is Heinz number, h is homogeneous symmetric functions, and s is Schur functions.
%C A321759 Row n has length A000041(A056239(n)).
%C A321759 The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
%H A321759 Wikipedia, <a href="https://en.wikipedia.org/wiki/Symmetric_polynomial">Symmetric polynomial</a>
%e A321759 Triangle begins:
%e A321759    1
%e A321759    1
%e A321759    1   0
%e A321759    1   1
%e A321759    1   0   0
%e A321759    1   1   0
%e A321759    1   0   0   0   0
%e A321759    1   2   1
%e A321759    1   1   1   0   0
%e A321759    1   0   1   0   0
%e A321759    1   0   0   0   0   0   0
%e A321759    1   1   2   1   0
%e A321759 For example, row 12 gives: h(211) = s(4) + s(22) + 2s(31) + s(211).
%Y A321759 Row sums are A321757.
%Y A321759 Cf. A000085, A008480, A056239, A082733, A124795, A153452, A296188, A300121, A321742-A321765.
%K A321759 nonn,more,tabf
%O A321759 1,19
%A A321759 _Gus Wiseman_, Nov 20 2018