cp's OEIS Frontend

A170559 Number of reduced words of length n in Coxeter group on 22 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.

%I A170559 #8 Jun 12 2017 18:32:55
%S A170559 1,22,462,9702,203742,4278582,89850222,1886854662,39623947902,
%T A170559 832102905942,17474161024782,366957381520422,7706105011928862,
%U A170559 161828205250506102,3398392310260628142,71366238515473190982
%N A170559 Number of reduced words of length n in Coxeter group on 22 generators S_i with relations (S_i)^2 = (S_i S_j)^47 = I.
%C A170559 The initial terms coincide with those of A170741, although the two sequences are eventually different.
%C A170559 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170559 <a href="/index/Rec#order_47">Index entries for linear recurrences with constant coefficients</a>, signature (20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, -210).
%F A170559 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 A170559 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 A170559 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 A170559 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 A170559 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 A170559 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(210*t^47 -
%F A170559 20*t^46 - 20*t^45 - 20*t^44 - 20*t^43 - 20*t^42 - 20*t^41 - 20*t^40 -
%F A170559 20*t^39 - 20*t^38 - 20*t^37 - 20*t^36 - 20*t^35 - 20*t^34 - 20*t^33 -
%F A170559 20*t^32 - 20*t^31 - 20*t^30 - 20*t^29 - 20*t^28 - 20*t^27 - 20*t^26 -
%F A170559 20*t^25 - 20*t^24 - 20*t^23 - 20*t^22 - 20*t^21 - 20*t^20 - 20*t^19 -
%F A170559 20*t^18 - 20*t^17 - 20*t^16 - 20*t^15 - 20*t^14 - 20*t^13 - 20*t^12 -
%F A170559 20*t^11 - 20*t^10 - 20*t^9 - 20*t^8 - 20*t^7 - 20*t^6 - 20*t^5 - 20*t^4
%F A170559 - 20*t^3 - 20*t^2 - 20*t + 1)
%t A170559 coxG[{47,210,-20}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Jun 12 2017 *)
%K A170559 nonn
%O A170559 0,2
%A A170559 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009