cp's OEIS Frontend

A169489 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169489 #8 Mar 15 2017 09:24:10
%S A169489 1,44,1892,81356,3498308,150427244,6468371492,278139974156,
%T A169489 11960018888708,514280812214444,22114074925221092,950905221784506956,
%U A169489 40888924536733799108,1758223755079553361644,75603621468420794550692
%N A169489 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169489 The initial terms coincide with those of A170763, although the two sequences are eventually different.
%C A169489 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169489 <a href="/index/Rec#order_33">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, -903).
%F A169489 G.f. (t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A169489 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A169489 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A169489 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A169489 1)/(903*t^33 - 42*t^32 - 42*t^31 - 42*t^30 - 42*t^29 - 42*t^28 - 42*t^27
%F A169489 - 42*t^26 - 42*t^25 - 42*t^24 - 42*t^23 - 42*t^22 - 42*t^21 - 42*t^20 -
%F A169489 42*t^19 - 42*t^18 - 42*t^17 - 42*t^16 - 42*t^15 - 42*t^14 - 42*t^13 -
%F A169489 42*t^12 - 42*t^11 - 42*t^10 - 42*t^9 - 42*t^8 - 42*t^7 - 42*t^6 - 42*t^5
%F A169489 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1)
%t A169489 coxG[{33,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Mar 15 2017 *)
%K A169489 nonn
%O A169489 0,2
%A A169489 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009