cp's OEIS Frontend

A170187 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.

%I A170187 #8 Jul 24 2017 20:25:15
%S A170187 1,34,1122,37026,1221858,40321314,1330603362,43909910946,
%T A170187 1449027061218,47817893020194,1577990469666402,52073685498991266,
%U A170187 1718431621466711778,56708243508401488674,1871372035777249126242,61755277180649221165986
%N A170187 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^39 = I.
%C A170187 The initial terms coincide with those of A170753, although the two sequences are eventually different.
%C A170187 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170187 <a href="/index/Rec#order_39">Index entries for linear recurrences with constant coefficients</a>, signature (32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, -528).
%F A170187 G.f. (t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170187 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 A170187 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 A170187 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 A170187 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(528*t^39 -
%F A170187 32*t^38 - 32*t^37 - 32*t^36 - 32*t^35 - 32*t^34 - 32*t^33 - 32*t^32 -
%F A170187 32*t^31 - 32*t^30 - 32*t^29 - 32*t^28 - 32*t^27 - 32*t^26 - 32*t^25 -
%F A170187 32*t^24 - 32*t^23 - 32*t^22 - 32*t^21 - 32*t^20 - 32*t^19 - 32*t^18 -
%F A170187 32*t^17 - 32*t^16 - 32*t^15 - 32*t^14 - 32*t^13 - 32*t^12 - 32*t^11 -
%F A170187 32*t^10 - 32*t^9 - 32*t^8 - 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 -
%F A170187 32*t^2 - 32*t + 1)
%t A170187 coxG[{39,528,-32}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 24 2017 *)
%K A170187 nonn
%O A170187 0,2
%A A170187 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009