cp's OEIS Frontend

A170630 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.

%I A170630 #8 Jul 22 2020 11:50:11
%S A170630 1,45,1980,87120,3833280,168664320,7421230080,326534123520,
%T A170630 14367501434880,632170063134720,27815482777927680,1223881242228817920,
%U A170630 53850774658067988480,2369434084954991493120,104255099738019625697280
%N A170630 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.
%C A170630 The initial terms coincide with those of A170764, although the two sequences are eventually different.
%C A170630 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170630 <a href="/index/Rec#order_48">Index entries for linear recurrences with constant coefficients</a>, signature (43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, 43, -946).
%F A170630 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 A170630 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 A170630 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 A170630 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 A170630 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 A170630 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170630 1)/(946*t^48 - 43*t^47 - 43*t^46 - 43*t^45 - 43*t^44 - 43*t^43 - 43*t^42
%F A170630 - 43*t^41 - 43*t^40 - 43*t^39 - 43*t^38 - 43*t^37 - 43*t^36 - 43*t^35 -
%F A170630 43*t^34 - 43*t^33 - 43*t^32 - 43*t^31 - 43*t^30 - 43*t^29 - 43*t^28 -
%F A170630 43*t^27 - 43*t^26 - 43*t^25 - 43*t^24 - 43*t^23 - 43*t^22 - 43*t^21 -
%F A170630 43*t^20 - 43*t^19 - 43*t^18 - 43*t^17 - 43*t^16 - 43*t^15 - 43*t^14 -
%F A170630 43*t^13 - 43*t^12 - 43*t^11 - 43*t^10 - 43*t^9 - 43*t^8 - 43*t^7 -
%F A170630 43*t^6 - 43*t^5 - 43*t^4 - 43*t^3 - 43*t^2 - 43*t + 1)
%t A170630 coxG[{48,946,-43}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jul 22 2020 *)
%K A170630 nonn
%O A170630 0,2
%A A170630 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009