cp's OEIS Frontend

A170369 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.

%I A170369 #6 Nov 21 2016 19:24:29
%S A170369 1,24,552,12696,292008,6716184,154472232,3552861336,81715810728,
%T A170369 1879463646744,43227663875112,994236269127576,22867434189934248,
%U A170369 525950986368487704,12096872686475217192,278228071788929995416
%N A170369 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^43 = I.
%C A170369 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A170369 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170369 <a href="/index/Rec#order_43">Index entries for linear recurrences with constant coefficients</a>, signature (22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, -253).
%F A170369 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 A170369 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 A170369 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 A170369 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 A170369 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 A170369 + 2*t^2 + 2*t + 1)/(253*t^43 - 22*t^42 - 22*t^41 - 22*t^40 - 22*t^39 -
%F A170369 22*t^38 - 22*t^37 - 22*t^36 - 22*t^35 - 22*t^34 - 22*t^33 - 22*t^32 -
%F A170369 22*t^31 - 22*t^30 - 22*t^29 - 22*t^28 - 22*t^27 - 22*t^26 - 22*t^25 -
%F A170369 22*t^24 - 22*t^23 - 22*t^22 - 22*t^21 - 22*t^20 - 22*t^19 - 22*t^18 -
%F A170369 22*t^17 - 22*t^16 - 22*t^15 - 22*t^14 - 22*t^13 - 22*t^12 - 22*t^11 -
%F A170369 22*t^10 - 22*t^9 - 22*t^8 - 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 -
%F A170369 22*t^2 - 22*t + 1)
%K A170369 nonn
%O A170369 0,2
%A A170369 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009