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 A169162 #10 Nov 25 2016 13:54:00 %S A169162 1,5,20,80,320,1280,5120,20480,81920,327680,1310720,5242880,20971520, %T A169162 83886080,335544320,1342177280,5368709120,21474836480,85899345920, %U A169162 343597383680,1374389534720,5497558138880,21990232555520,87960930222080 %N A169162 Number of reduced words of length n in Coxeter group on 5 generators S_i with relations (S_i)^2 = (S_i S_j)^27 = I. %C A169162 The initial terms coincide with those of A003947, although the two sequences are eventually different. %C A169162 First disagreement at index 27: a(27) = 22517998136852470, A003947(27) = 22517998136852480. - Klaus Brockhaus, May 07 2011 %C A169162 Computed with MAGMA using commands similar to those used to compute A154638. %H A169162 <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -6). %F A169162 G.f.: (t^27 + 2*t^26 + 2*t^25 + 2*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)/(6*t^27 - 3*t^26 - 3*t^25 - 3*t^24 - 3*t^23 - 3*t^22 - 3*t^21 - 3*t^20 - 3*t^19 - 3*t^18 - 3*t^17 - 3*t^16 - 3*t^15 - 3*t^14 - 3*t^13 - 3*t^12 - 3*t^11 - 3*t^10 - 3*t^9 - 3*t^8 - 3*t^7 - 3*t^6 - 3*t^5 - 3*t^4 - 3*t^3 - 3*t^2 - 3*t + 1). %t A169162 coxG[{27,6,-3,30}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 29 2015 *) %Y A169162 Cf. A003947 (G.f.: (1+x)/(1-4*x)). %K A169162 nonn %O A169162 0,2 %A A169162 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009