cp's OEIS Frontend

A169482 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169482 #8 Apr 18 2017 13:04:20
%S A169482 1,37,1332,47952,1726272,62145792,2237248512,80540946432,
%T A169482 2899474071552,104381066575872,3757718396731392,135277862282330112,
%U A169482 4870003042163884032,175320109517899825152,6311523942644393705472
%N A169482 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169482 The initial terms coincide with those of A170756, although the two sequences are eventually different.
%C A169482 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169482 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, -630).
%F A169482 G.f. (t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A169482 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A169482 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A169482 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A169482 1)/(630*t^33 - 35*t^32 - 35*t^31 - 35*t^30 - 35*t^29 - 35*t^28 - 35*t^27
%F A169482 - 35*t^26 - 35*t^25 - 35*t^24 - 35*t^23 - 35*t^22 - 35*t^21 - 35*t^20 -
%F A169482 35*t^19 - 35*t^18 - 35*t^17 - 35*t^16 - 35*t^15 - 35*t^14 - 35*t^13 -
%F A169482 35*t^12 - 35*t^11 - 35*t^10 - 35*t^9 - 35*t^8 - 35*t^7 - 35*t^6 - 35*t^5
%F A169482 - 35*t^4 - 35*t^3 - 35*t^2 - 35*t + 1)
%t A169482 coxG[{33,630,-35}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 18 2017 *)
%K A169482 nonn
%O A169482 0,2
%A A169482 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009