cp's OEIS Frontend

A169558 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169558 #8 Apr 01 2018 13:06:25
%S A169558 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A169558 73014444032,1168231104512,18691697672192,299067162755072,
%U A169558 4785074604081152,76561193665298432,1224979098644774912,19599665578316398592
%N A169558 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169558 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A169558 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169558 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, -120).
%F A169558 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A169558 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 A169558 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 A169558 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 A169558 + 2*t^2 + 2*t + 1)/(120*t^35 - 15*t^34 - 15*t^33 - 15*t^32 - 15*t^31 -
%F A169558 15*t^30 - 15*t^29 - 15*t^28 - 15*t^27 - 15*t^26 - 15*t^25 - 15*t^24 -
%F A169558 15*t^23 - 15*t^22 - 15*t^21 - 15*t^20 - 15*t^19 - 15*t^18 - 15*t^17 -
%F A169558 15*t^16 - 15*t^15 - 15*t^14 - 15*t^13 - 15*t^12 - 15*t^11 - 15*t^10 -
%F A169558 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 -
%F A169558 15*t + 1)
%t A169558 coxG[{35,120,-15}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 01 2018 *)
%K A169558 nonn
%O A169558 0,2
%A A169558 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009