cp's OEIS Frontend

A169462 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169462 #8 Sep 13 2018 12:16:29
%S A169462 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A169462 73014444032,1168231104512,18691697672192,299067162755072,
%U A169462 4785074604081152,76561193665298432,1224979098644774912,19599665578316398592
%N A169462 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169462 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A169462 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169462 <a href="/index/Rec#order_33">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, -120).
%F A169462 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 A169462 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 A169462 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 A169462 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 A169462 1)/(120*t^33 - 15*t^32 - 15*t^31 - 15*t^30 - 15*t^29 - 15*t^28 - 15*t^27
%F A169462 - 15*t^26 - 15*t^25 - 15*t^24 - 15*t^23 - 15*t^22 - 15*t^21 - 15*t^20 -
%F A169462 15*t^19 - 15*t^18 - 15*t^17 - 15*t^16 - 15*t^15 - 15*t^14 - 15*t^13 -
%F A169462 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5
%F A169462 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1)
%t A169462 coxG[{33,120,-15}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 13 2018 *)
%K A169462 nonn
%O A169462 0,2
%A A169462 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009