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%I #8 Aug 26 2017 12:25:00
%S 1,29,812,22736,636608,17825024,499100672,13974818816,391294926442,
%T 10956257929008,306775221694326,8589706198539984,240511773309887520,
%U 6734329645698353664,188561229884155989504,5279714431285226139648
%N Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C The initial terms coincide with those of A170748, although the two sequences are eventually different.
%C Computed with MAGMA using commands similar to those used to compute A154638.
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (27, 27, 27, 27, 27, 27, 27, -378).
%F G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(378*t^8 -
%F 27*t^7 - 27*t^6 - 27*t^5 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1)
%t coxG[{8,378,-27}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 26 2017 *)
%K nonn
%O 0,2
%A _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
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