cp's OEIS Frontend

A170506 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170506 #8 May 29 2017 09:40:25
%S A170506 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A170506 73014444032,1168231104512,18691697672192,299067162755072,
%U A170506 4785074604081152,76561193665298432,1224979098644774912,19599665578316398592
%N A170506 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170506 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A170506 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170506 <a href="/index/Rec#order_46">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, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, -120).
%F A170506 G.f. (t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 +
%F A170506 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170506 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170506 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170506 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170506 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(120*t^46 - 15*t^45 -
%F A170506 15*t^44 - 15*t^43 - 15*t^42 - 15*t^41 - 15*t^40 - 15*t^39 - 15*t^38 -
%F A170506 15*t^37 - 15*t^36 - 15*t^35 - 15*t^34 - 15*t^33 - 15*t^32 - 15*t^31 -
%F A170506 15*t^30 - 15*t^29 - 15*t^28 - 15*t^27 - 15*t^26 - 15*t^25 - 15*t^24 -
%F A170506 15*t^23 - 15*t^22 - 15*t^21 - 15*t^20 - 15*t^19 - 15*t^18 - 15*t^17 -
%F A170506 15*t^16 - 15*t^15 - 15*t^14 - 15*t^13 - 15*t^12 - 15*t^11 - 15*t^10 -
%F A170506 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 A170506 15*t + 1)
%t A170506 coxG[{46,120,-15}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 29 2017 *)
%K A170506 nonn
%O A170506 0,2
%A A170506 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009