cp's OEIS Frontend

A170101 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.

%I A170101 #8 Mar 15 2017 09:20:35
%S A170101 1,44,1892,81356,3498308,150427244,6468371492,278139974156,
%T A170101 11960018888708,514280812214444,22114074925221092,950905221784506956,
%U A170101 40888924536733799108,1758223755079553361644,75603621468420794550692
%N A170101 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^37 = I.
%C A170101 The initial terms coincide with those of A170763, although the two sequences are eventually different.
%C A170101 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170101 <a href="/index/Rec#order_37">Index entries for linear recurrences with constant coefficients</a>, signature (42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, -903).
%F A170101 G.f. (t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 +
%F A170101 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 +
%F A170101 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 +
%F A170101 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 +
%F A170101 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(903*t^37 - 42*t^36 - 42*t^35 -
%F A170101 42*t^34 - 42*t^33 - 42*t^32 - 42*t^31 - 42*t^30 - 42*t^29 - 42*t^28 -
%F A170101 42*t^27 - 42*t^26 - 42*t^25 - 42*t^24 - 42*t^23 - 42*t^22 - 42*t^21 -
%F A170101 42*t^20 - 42*t^19 - 42*t^18 - 42*t^17 - 42*t^16 - 42*t^15 - 42*t^14 -
%F A170101 42*t^13 - 42*t^12 - 42*t^11 - 42*t^10 - 42*t^9 - 42*t^8 - 42*t^7 -
%F A170101 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1)
%t A170101 coxG[{37,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 15 2017 *)
%K A170101 nonn
%O A170101 0,2
%A A170101 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009