This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A169019 #10 Oct 16 2021 17:06:35 %S A169019 1,6,30,150,750,3750,18750,93750,468750,2343750,11718750,58593750, %T A169019 292968750,1464843750,7324218750,36621093750,183105468750, %U A169019 915527343750,4577636718750,22888183593750,114440917968750,572204589843750 %N A169019 Number of reduced words of length n in Coxeter group on 6 generators S_i with relations (S_i)^2 = (S_i S_j)^24 = I. %C A169019 The initial terms coincide with those of A003948, although the two sequences are eventually different. %C A169019 First disagreement at index 24: a(24) = 71525573730468735, A003948(24) = 71525573730468750. - Klaus Brockhaus, Apr 20 2011 %C A169019 Computed with MAGMA using commands similar to those used to compute A154638. %H A169019 <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -10). %F A169019 G.f.: (t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(10*t^24 - 4*t^23 - 4*t^22 - 4*t^21 - 4*t^20 - 4*t^19 - 4*t^18 - 4*t^17 - 4*t^16 - 4*t^15 - 4*t^14 - 4*t^13 - 4*t^12 - 4*t^11 - 4*t^10 - 4*t^9 - 4*t^8 - 4*t^7 - 4*t^6 - 4*t^5 - 4*t^4 - 4*t^3 - 4*t^2 - 4*t + 1). %t A169019 coxG[{24,10,-4,30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Oct 16 2021 *) %Y A169019 Cf. A003948 (G.f.: (1+x)/(1-5*x)). %K A169019 nonn %O A169019 0,2 %A A169019 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009