cp's OEIS Frontend

A170102 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.

%I A170102 #8 Nov 26 2016 10:12:32
%S A170102 1,45,1980,87120,3833280,168664320,7421230080,326534123520,
%T A170102 14367501434880,632170063134720,27815482777927680,1223881242228817920,
%U A170102 53850774658067988480,2369434084954991493120,104255099738019625697280
%N A170102 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.
%C A170102 The initial terms coincide with those of A170764, although the two sequences are eventually different.
%C A170102 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170102 <a href="/index/Rec#order_37">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, -946).
%F A170102 G.f. (t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 +
%F A170102 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 +
%F A170102 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 +
%F A170102 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 +
%F A170102 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(946*t^37 - 43*t^36 - 43*t^35 -
%F A170102 43*t^34 - 43*t^33 - 43*t^32 - 43*t^31 - 43*t^30 - 43*t^29 - 43*t^28 -
%F A170102 43*t^27 - 43*t^26 - 43*t^25 - 43*t^24 - 43*t^23 - 43*t^22 - 43*t^21 -
%F A170102 43*t^20 - 43*t^19 - 43*t^18 - 43*t^17 - 43*t^16 - 43*t^15 - 43*t^14 -
%F A170102 43*t^13 - 43*t^12 - 43*t^11 - 43*t^10 - 43*t^9 - 43*t^8 - 43*t^7 -
%F A170102 43*t^6 - 43*t^5 - 43*t^4 - 43*t^3 - 43*t^2 - 43*t + 1)
%t A170102 coxG[{37,946,-43}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 15 2016 *)
%K A170102 nonn
%O A170102 0,2
%A A170102 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009