cp's OEIS Frontend

A170582 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.

%I A170582 #6 Nov 21 2016 13:08:10
%S A170582 1,45,1980,87120,3833280,168664320,7421230080,326534123520,
%T A170582 14367501434880,632170063134720,27815482777927680,1223881242228817920,
%U A170582 53850774658067988480,2369434084954991493120,104255099738019625697280
%N A170582 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.
%C A170582 The initial terms coincide with those of A170764, although the two sequences are eventually different.
%C A170582 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170582 <a href="/index/Rec#order_47">Index entries for linear recurrences with constant coefficients</a>, signature (43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, -946).
%F A170582 G.f. (t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 +
%F A170582 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170582 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 +
%F A170582 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 +
%F A170582 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 +
%F A170582 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(946*t^47 -
%F A170582 43*t^46 - 43*t^45 - 43*t^44 - 43*t^43 - 43*t^42 - 43*t^41 - 43*t^40 -
%F A170582 43*t^39 - 43*t^38 - 43*t^37 - 43*t^36 - 43*t^35 - 43*t^34 - 43*t^33 -
%F A170582 43*t^32 - 43*t^31 - 43*t^30 - 43*t^29 - 43*t^28 - 43*t^27 - 43*t^26 -
%F A170582 43*t^25 - 43*t^24 - 43*t^23 - 43*t^22 - 43*t^21 - 43*t^20 - 43*t^19 -
%F A170582 43*t^18 - 43*t^17 - 43*t^16 - 43*t^15 - 43*t^14 - 43*t^13 - 43*t^12 -
%F A170582 43*t^11 - 43*t^10 - 43*t^9 - 43*t^8 - 43*t^7 - 43*t^6 - 43*t^5 - 43*t^4
%F A170582 - 43*t^3 - 43*t^2 - 43*t + 1)
%K A170582 nonn
%O A170582 0,2
%A A170582 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009