# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a170591 Showing 1-1 of 1 %I A170591 #6 Nov 21 2016 12:00:56 %S A170591 1,6,30,150,750,3750,18750,93750,468750,2343750,11718750,58593750, %T A170591 292968750,1464843750,7324218750,36621093750,183105468750, %U A170591 915527343750,4577636718750,22888183593750,114440917968750,572204589843750 %N A170591 Number of reduced words of length n in Coxeter group on 6 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I. %C A170591 The initial terms coincide with those of A003948, although the two sequences are eventually different. %C A170591 Computed with MAGMA using commands similar to those used to compute A154638. %H A170591 Index entries for linear recurrences with constant coefficients, signature (4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10). %F A170591 G.f. (t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + %F A170591 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + %F A170591 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + %F A170591 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + %F A170591 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + %F A170591 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + %F A170591 1)/(10*t^48 - 4*t^47 - 4*t^46 - 4*t^45 - 4*t^44 - 4*t^43 - 4*t^42 - %F A170591 4*t^41 - 4*t^40 - 4*t^39 - 4*t^38 - 4*t^37 - 4*t^36 - 4*t^35 - 4*t^34 - %F A170591 4*t^33 - 4*t^32 - 4*t^31 - 4*t^30 - 4*t^29 - 4*t^28 - 4*t^27 - 4*t^26 - %F A170591 4*t^25 - 4*t^24 - 4*t^23 - 4*t^22 - 4*t^21 - 4*t^20 - 4*t^19 - 4*t^18 - %F A170591 4*t^17 - 4*t^16 - 4*t^15 - 4*t^14 - 4*t^13 - 4*t^12 - 4*t^11 - 4*t^10 - %F A170591 4*t^9 - 4*t^8 - 4*t^7 - 4*t^6 - 4*t^5 - 4*t^4 - 4*t^3 - 4*t^2 - 4*t + 1) %K A170591 nonn %O A170591 0,2 %A A170591 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE