cp's OEIS Frontend

A170602 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.

%I A170602 #8 Nov 21 2016 12:07:21
%S A170602 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A170602 73014444032,1168231104512,18691697672192,299067162755072,
%U A170602 4785074604081152,76561193665298432,1224979098644774912,19599665578316398592
%N A170602 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.
%C A170602 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A170602 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170602 <a href="/index/Rec#order_48">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, 15, 15, -120).
%F A170602 G.f. (t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 +
%F A170602 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 +
%F A170602 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 +
%F A170602 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 +
%F A170602 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 +
%F A170602 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170602 1)/(120*t^48 - 15*t^47 - 15*t^46 - 15*t^45 - 15*t^44 - 15*t^43 - 15*t^42
%F A170602 - 15*t^41 - 15*t^40 - 15*t^39 - 15*t^38 - 15*t^37 - 15*t^36 - 15*t^35 -
%F A170602 15*t^34 - 15*t^33 - 15*t^32 - 15*t^31 - 15*t^30 - 15*t^29 - 15*t^28 -
%F A170602 15*t^27 - 15*t^26 - 15*t^25 - 15*t^24 - 15*t^23 - 15*t^22 - 15*t^21 -
%F A170602 15*t^20 - 15*t^19 - 15*t^18 - 15*t^17 - 15*t^16 - 15*t^15 - 15*t^14 -
%F A170602 15*t^13 - 15*t^12 - 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 -
%F A170602 15*t^6 - 15*t^5 - 15*t^4 - 15*t^3 - 15*t^2 - 15*t + 1)
%t A170602 coxG[{48,120,-15}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 01 2015 *)
%K A170602 nonn
%O A170602 0,2
%A A170602 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009