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 A162496 Number of reduced words of length n in the reflection group [3,4,3] of order 1152. 3
 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, 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, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This is also the Weyl group F_4. REFERENCES H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, Table 10. J. E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge, 1990. See under Poincaré polynomial. LINKS FORMULA G.f.: (1-x^2)*(1-x^6)*(1-x^8)*(1-x^12)/(1-x)^4 PROG (Magma) G := CoxeterGroup(GrpFPCox, "F4"); f := GrowthFunction(G); Coefficients(f); CROSSREFS Cf. A161409, A162493-A162497. Sequence in context: A241971 A335640 A302053 * A159852 A343066 A028907 Adjacent sequences: A162493 A162494 A162495 * A162497 A162498 A162499 KEYWORD nonn,fini AUTHOR John Cannon and N. J. A. Sloane, Dec 01 2009 STATUS approved

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Last modified January 31 08:27 EST 2023. Contains 359954 sequences. (Running on oeis4.)