cp's OEIS Frontend

A170554 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.

%I A170554 #6 Nov 21 2016 12:51:30
%S A170554 1,17,272,4352,69632,1114112,17825792,285212672,4563402752,
%T A170554 73014444032,1168231104512,18691697672192,299067162755072,
%U A170554 4785074604081152,76561193665298432,1224979098644774912,19599665578316398592
%N A170554 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.
%C A170554 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A170554 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170554 <a href="/index/Rec#order_47">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, -120).
%F A170554 G.f. (t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 +
%F A170554 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 +
%F A170554 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 +
%F A170554 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 +
%F A170554 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 +
%F A170554 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(120*t^47 -
%F A170554 15*t^46 - 15*t^45 - 15*t^44 - 15*t^43 - 15*t^42 - 15*t^41 - 15*t^40 -
%F A170554 15*t^39 - 15*t^38 - 15*t^37 - 15*t^36 - 15*t^35 - 15*t^34 - 15*t^33 -
%F A170554 15*t^32 - 15*t^31 - 15*t^30 - 15*t^29 - 15*t^28 - 15*t^27 - 15*t^26 -
%F A170554 15*t^25 - 15*t^24 - 15*t^23 - 15*t^22 - 15*t^21 - 15*t^20 - 15*t^19 -
%F A170554 15*t^18 - 15*t^17 - 15*t^16 - 15*t^15 - 15*t^14 - 15*t^13 - 15*t^12 -
%F A170554 15*t^11 - 15*t^10 - 15*t^9 - 15*t^8 - 15*t^7 - 15*t^6 - 15*t^5 - 15*t^4
%F A170554 - 15*t^3 - 15*t^2 - 15*t + 1)
%K A170554 nonn
%O A170554 0,2
%A A170554 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009