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 A169082 #19 Nov 25 2016 11:58:34 %S A169082 1,21,420,8400,168000,3360000,67200000,1344000000,26880000000, %T A169082 537600000000,10752000000000,215040000000000,4300800000000000, %U A169082 86016000000000000,1720320000000000000,34406400000000000000 %N A169082 Number of reduced words of length n in Coxeter group on 21 generators S_i with relations (S_i)^2 = (S_i S_j)^25 = I. %C A169082 The initial terms coincide with those of A170740, although the two sequences are eventually different. %C A169082 First disagreement at index 25: a(25) = 352321535999999999999999999999790, A170740(25) = 352321536000000000000000000000000. - _Klaus Brockhaus_, Apr 25 2011 %C A169082 Computed with MAGMA using commands similar to those used to compute A154638. %H A169082 <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, -190). %F A169082 G.f.: (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)/(190*t^25 - 19*t^24 - 19*t^23 - 19*t^22 - 19*t^21 - 19*t^20 - 19*t^19 - 19*t^18 - 19*t^17 - 19*t^16 - 19*t^15 - 19*t^14 - 19*t^13 - 19*t^12 - 19*t^11 - 19*t^10 - 19*t^9 - 19*t^8 - 19*t^7 - 19*t^6 - 19*t^5 - 19*t^4 - 19*t^3 - 19*t^2 - 19*t + 1). %t A169082 With[{num=Total[2t^Range[0,25]]-1-t^25,den=Total[-19 t^Range[24]] +190t^25+1},CoefficientList[Series[num/den,{t,0,40}],t]] (* _Harvey P. Dale_, Jun 14 2011 *) %Y A169082 Cf. A170740 (G.f.: (1+x)/(1-20*x)). %K A169082 nonn %O A169082 0,2 %A A169082 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009