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.
%I A162496 #6 Sep 08 2022 08:45:46 %S A162496 1,4,9,16,25,36,48,60,71,80,87,92,94,92,87,80,71,60,48,36,25,16,9,4,1, %T A162496 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, %U A162496 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 %N A162496 Number of reduced words of length n in the reflection group [3,4,3] of order 1152. %C A162496 This is also the Weyl group F_4. %D A162496 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 A162496 J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial. %F A162496 G.f.: (1-x^2)*(1-x^6)*(1-x^8)*(1-x^12)/(1-x)^4 %o A162496 (Magma) G := CoxeterGroup(GrpFPCox, "F4"); %o A162496 f := GrowthFunction(G); %o A162496 Coefficients(f); %Y A162496 Cf. A161409, A162493-A162497. %K A162496 nonn,fini %O A162496 0,2 %A A162496 _John Cannon_ and _N. J. A. Sloane_, Dec 01 2009