cp's OEIS Frontend

A170093 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.

%I A170093 #8 Aug 13 2019 13:58:25
%S A170093 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A170093 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A170093 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A170093 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.
%C A170093 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A170093 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170093 <a href="/index/Rec#order_37">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A170093 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 A170093 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 A170093 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 A170093 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 A170093 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(595*t^37 - 34*t^36 - 34*t^35 -
%F A170093 34*t^34 - 34*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 -
%F A170093 34*t^27 - 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 -
%F A170093 34*t^20 - 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 -
%F A170093 34*t^13 - 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 -
%F A170093 34*t^6 - 34*t^5 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%t A170093 coxG[{37,595,-34}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 13 2019 *)
%K A170093 nonn
%O A170093 0,2
%A A170093 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009