cp's OEIS Frontend

A170037 Number of reduced words of length n in Coxeter group on 28 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.

%I A170037 #6 Nov 26 2016 09:44:47
%S A170037 1,28,756,20412,551124,14880348,401769396,10847773692,292889889684,
%T A170037 7908027021468,213516729579636,5764951698650172,155653695863554644,
%U A170037 4202649788315975388,113471544284531335476,3063731695682346057852
%N A170037 Number of reduced words of length n in Coxeter group on 28 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.
%C A170037 The initial terms coincide with those of A170747, although the two sequences are eventually different.
%C A170037 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170037 <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, -351).
%F A170037 G.f. (t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170037 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170037 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170037 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4
%F A170037 + 2*t^3 + 2*t^2 + 2*t + 1)/(351*t^36 - 26*t^35 - 26*t^34 - 26*t^33 -
%F A170037 26*t^32 - 26*t^31 - 26*t^30 - 26*t^29 - 26*t^28 - 26*t^27 - 26*t^26 -
%F A170037 26*t^25 - 26*t^24 - 26*t^23 - 26*t^22 - 26*t^21 - 26*t^20 - 26*t^19 -
%F A170037 26*t^18 - 26*t^17 - 26*t^16 - 26*t^15 - 26*t^14 - 26*t^13 - 26*t^12 -
%F A170037 26*t^11 - 26*t^10 - 26*t^9 - 26*t^8 - 26*t^7 - 26*t^6 - 26*t^5 - 26*t^4
%F A170037 - 26*t^3 - 26*t^2 - 26*t + 1)
%K A170037 nonn
%O A170037 0,2
%A A170037 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009