cp's OEIS Frontend

A170440 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^44 = I.

%I A170440 #6 Nov 21 2016 17:39:31
%S A170440 1,47,2162,99452,4574792,210440432,9680259872,445291954112,
%T A170440 20483429889152,942237774900992,43342937645445632,1993775131690499072,
%U A170440 91713656057762957312,4218828178657096036352,194066096218226417672192
%N A170440 Number of reduced words of length n in Coxeter group on 47 generators S_i with relations (S_i)^2 = (S_i S_j)^44 = I.
%C A170440 The initial terms coincide with those of A170766, although the two sequences are eventually different.
%C A170440 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170440 <a href="/index/Rec#order_44">Index entries for linear recurrences with constant coefficients</a>, signature (45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, -1035).
%F A170440 G.f. (t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 +
%F A170440 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170440 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170440 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170440 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4
%F A170440 + 2*t^3 + 2*t^2 + 2*t + 1)/(1035*t^44 - 45*t^43 - 45*t^42 - 45*t^41 -
%F A170440 45*t^40 - 45*t^39 - 45*t^38 - 45*t^37 - 45*t^36 - 45*t^35 - 45*t^34 -
%F A170440 45*t^33 - 45*t^32 - 45*t^31 - 45*t^30 - 45*t^29 - 45*t^28 - 45*t^27 -
%F A170440 45*t^26 - 45*t^25 - 45*t^24 - 45*t^23 - 45*t^22 - 45*t^21 - 45*t^20 -
%F A170440 45*t^19 - 45*t^18 - 45*t^17 - 45*t^16 - 45*t^15 - 45*t^14 - 45*t^13 -
%F A170440 45*t^12 - 45*t^11 - 45*t^10 - 45*t^9 - 45*t^8 - 45*t^7 - 45*t^6 - 45*t^5
%F A170440 - 45*t^4 - 45*t^3 - 45*t^2 - 45*t + 1)
%K A170440 nonn
%O A170440 0,2
%A A170440 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009