The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A162497 Number of reduced words of length n in the reflection group [3,3,5] of order 14400. 3
 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 168, 192, 216, 240, 264, 288, 312, 336, 359, 380, 399, 416, 431, 444, 455, 464, 471, 476, 478, 476, 471, 464, 455, 444, 431, 416, 399, 380, 359, 336, 312, 288, 264, 240, 216, 192, 168, 144, 121, 100, 81, 64, 49, 36, 25, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This is also the Weyl group H_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^12)*(1-x^20)*(1-x^30)/(1-x)^4. PROG (Magma) G := CoxeterGroup(GrpFPCox, "H4"); f := GrowthFunction(G); Coefficients(f); CROSSREFS Cf. A161409, A162493-A162496. Sequence in context: A169920 A093837 A194148 * A216500 A069821 A331221 Adjacent sequences: A162494 A162495 A162496 * A162498 A162499 A162500 KEYWORD nonn,fini AUTHOR John Cannon and N. J. A. Sloane, Dec 01 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 31 05:03 EST 2023. Contains 359947 sequences. (Running on oeis4.)