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.

A323981 Expansion of determinant of 120 X 120 matrix M_{u,v} = q^(inv(u*v^-1)) where u, v in S_5 and inv is number of inversions.

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%I A323981 #9 Mar 08 2020 21:34:35
%S A323981 1,-240,28680,-2275340,134824740,-6364768848,249355900430,
%T A323981 -8339136948960,243023603409690,-6269722780034700,144985184977092522,
%U A323981 -3035621444374813800,58027460699588712925,-1019806488183014948520,16576321900226237215860,-250482543363917804395120,3534533562046161990784275
%N A323981 Expansion of determinant of 120 X 120 matrix M_{u,v} = q^(inv(u*v^-1)) where u, v in S_5 and inv is number of inversions.
%H A323981 Jinyuan Wang, <a href="/A323981/b323981.txt">Table of n, a(n) for n = 0..600</a>
%H A323981 C. Krattenthaler, <a href="https://arxiv.org/abs/math/0503507">Advanced Determinant Calculus: A Complement</a>, Linear Algebra Appl. 411 (2005), 68-166; arXiv:math/0503507v2 [math.CO], 2005. See Theorem 55.
%F A323981 G.f.: (1-q)^240*(1-q^3)^60*(1-q^6)^20*(1-q^10)^6.
%Y A323981 The analog for S_3 is (modulo signs) a row of A159255. For S_4 see A323980.
%K A323981 sign,fini,full,look
%O A323981 0,2
%A A323981 _N. J. A. Sloane_, Feb 11 2019