# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a170629 Showing 1-1 of 1 %I A170629 #8 Jul 27 2019 17:36:21 %S A170629 1,44,1892,81356,3498308,150427244,6468371492,278139974156, %T A170629 11960018888708,514280812214444,22114074925221092,950905221784506956, %U A170629 40888924536733799108,1758223755079553361644,75603621468420794550692 %N A170629 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I. %C A170629 The initial terms coincide with those of A170763, although the two sequences are eventually different. %C A170629 Computed with MAGMA using commands similar to those used to compute A154638. %H A170629 Index entries for linear recurrences with constant coefficients, signature (42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, -903). %F A170629 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 A170629 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 A170629 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 A170629 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 A170629 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 A170629 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + %F A170629 1)/(903*t^48 - 42*t^47 - 42*t^46 - 42*t^45 - 42*t^44 - 42*t^43 - 42*t^42 %F A170629 - 42*t^41 - 42*t^40 - 42*t^39 - 42*t^38 - 42*t^37 - 42*t^36 - 42*t^35 - %F A170629 42*t^34 - 42*t^33 - 42*t^32 - 42*t^31 - 42*t^30 - 42*t^29 - 42*t^28 - %F A170629 42*t^27 - 42*t^26 - 42*t^25 - 42*t^24 - 42*t^23 - 42*t^22 - 42*t^21 - %F A170629 42*t^20 - 42*t^19 - 42*t^18 - 42*t^17 - 42*t^16 - 42*t^15 - 42*t^14 - %F A170629 42*t^13 - 42*t^12 - 42*t^11 - 42*t^10 - 42*t^9 - 42*t^8 - 42*t^7 - %F A170629 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1) %t A170629 coxG[{48,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 27 2019 *) %K A170629 nonn %O A170629 0,2 %A A170629 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE