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.

A162497 Number of reduced words of length n in the reflection group [3,3,5] of order 14400.

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%I A162497 #6 Sep 08 2022 08:45:46
%S A162497 1,4,9,16,25,36,49,64,81,100,121,144,168,192,216,240,264,288,312,336,
%T A162497 359,380,399,416,431,444,455,464,471,476,478,476,471,464,455,444,431,
%U A162497 416,399,380,359,336,312,288,264,240,216,192,168,144,121,100,81,64,49,36,25,16
%N A162497 Number of reduced words of length n in the reflection group [3,3,5] of order 14400.
%C A162497 This is also the Weyl group H_4.
%D A162497 H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, Table 10.
%D A162497 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial.
%F A162497 G.f.: (1-x^2)*(1-x^12)*(1-x^20)*(1-x^30)/(1-x)^4.
%o A162497 (Magma) G := CoxeterGroup(GrpFPCox, "H4");
%o A162497 f := GrowthFunction(G);
%o A162497 Coefficients(f);
%Y A162497 Cf. A161409, A162493-A162496.
%K A162497 nonn,fini
%O A162497 0,2
%A A162497 _John Cannon_ and _N. J. A. Sloane_, Dec 01 2009