cp's OEIS Frontend

A169493 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169493 #8 Nov 26 2016 07:28:43
%S A169493 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A169493 24317909782224,1142941759764528,53718262708932816,
%U A169493 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A169493 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169493 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A169493 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169493 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A169493 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 A169493 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 A169493 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 A169493 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 A169493 1)/(1081*t^33 - 46*t^32 - 46*t^31 - 46*t^30 - 46*t^29 - 46*t^28 -
%F A169493 46*t^27 - 46*t^26 - 46*t^25 - 46*t^24 - 46*t^23 - 46*t^22 - 46*t^21 -
%F A169493 46*t^20 - 46*t^19 - 46*t^18 - 46*t^17 - 46*t^16 - 46*t^15 - 46*t^14 -
%F A169493 46*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 - 46*t^8 - 46*t^7 -
%F A169493 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1)
%t A169493 coxG[{33,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jan 19 2016 *)
%K A169493 nonn
%O A169493 0,2
%A A169493 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009