cp's OEIS Frontend

A170393 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.

%I A170393 #8 Dec 22 2019 17:41:15
%S A170393 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A170393 24317909782224,1142941759764528,53718262708932816,
%U A170393 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A170393 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.
%C A170393 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A170393 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170393 <a href="/index/Rec#order_43">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, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A170393 G.f. (t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 +
%F A170393 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A170393 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A170393 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A170393 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A170393 + 2*t^2 + 2*t + 1)/(1081*t^43 - 46*t^42 - 46*t^41 - 46*t^40 - 46*t^39 -
%F A170393 46*t^38 - 46*t^37 - 46*t^36 - 46*t^35 - 46*t^34 - 46*t^33 - 46*t^32 -
%F A170393 46*t^31 - 46*t^30 - 46*t^29 - 46*t^28 - 46*t^27 - 46*t^26 - 46*t^25 -
%F A170393 46*t^24 - 46*t^23 - 46*t^22 - 46*t^21 - 46*t^20 - 46*t^19 - 46*t^18 -
%F A170393 46*t^17 - 46*t^16 - 46*t^15 - 46*t^14 - 46*t^13 - 46*t^12 - 46*t^11 -
%F A170393 46*t^10 - 46*t^9 - 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 -
%F A170393 46*t^2 - 46*t + 1)
%t A170393 coxG[{43,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Dec 22 2019 *)
%K A170393 nonn
%O A170393 0,2
%A A170393 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009