cp's OEIS Frontend

A170345 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^42 = I.

%I A170345 #6 Nov 22 2016 08:28:17
%S A170345 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A170345 24317909782224,1142941759764528,53718262708932816,
%U A170345 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A170345 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^42 = I.
%C A170345 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A170345 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170345 <a href="/index/Rec#order_42">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, -1081).
%F A170345 G.f. (t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 +
%F A170345 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 +
%F A170345 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 +
%F A170345 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 +
%F A170345 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 +
%F A170345 2*t + 1)/(1081*t^42 - 46*t^41 - 46*t^40 - 46*t^39 - 46*t^38 - 46*t^37 -
%F A170345 46*t^36 - 46*t^35 - 46*t^34 - 46*t^33 - 46*t^32 - 46*t^31 - 46*t^30 -
%F A170345 46*t^29 - 46*t^28 - 46*t^27 - 46*t^26 - 46*t^25 - 46*t^24 - 46*t^23 -
%F A170345 46*t^22 - 46*t^21 - 46*t^20 - 46*t^19 - 46*t^18 - 46*t^17 - 46*t^16 -
%F A170345 46*t^15 - 46*t^14 - 46*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 -
%F A170345 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1)
%K A170345 nonn
%O A170345 0,2
%A A170345 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009