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 A165214 #8 Nov 23 2016 22:06:32 %S A165214 1,7,42,252,1512,9072,54432,326592,1959552,11757291,70543620, %T A165214 423260985,2539561500,15237342540,91423896480,548542426320, %U A165214 3291248842560,19747458763200,118484546826660,710906046446925,4265428871616150 %N A165214 Number of reduced words of length n in Coxeter group on 7 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I. %C A165214 The initial terms coincide with those of A003949, although the two sequences are eventually different. %C A165214 Computed with MAGMA using commands similar to those used to compute A154638. %H A165214 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (5, 5, 5, 5, 5, 5, 5, 5, -15). %F A165214 G.f. (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 + %F A165214 1)/(15*t^9 - 5*t^8 - 5*t^7 - 5*t^6 - 5*t^5 - 5*t^4 - 5*t^3 - 5*t^2 - 5*t %F A165214 + 1) %t A165214 coxG[{9,15,-5}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Nov 02 2015 *) %K A165214 nonn %O A165214 0,2 %A A165214 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009