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 A167646 #12 Aug 04 2023 13:47:35 %S A167646 1,49,2352,112896,5419008,260112384,12485394432,599298932736, %T A167646 28766348771328,1380784741023744,66277667569139712, %U A167646 3181328043318706176,152703746079297896448,7329779811806299029504,351829430966702353415016 %N A167646 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I. %C A167646 The initial terms coincide with those of A170768, although the two sequences are eventually different. %C A167646 Computed with MAGMA using commands similar to those used to compute A154638. %H A167646 G. C. Greubel, <a href="/A167646/b167646.txt">Table of n, a(n) for n = 0..500</a> %H A167646 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, -1128). %F A167646 G.f.: (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)/(1128*t^14 - 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 - 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1). %t A167646 CoefficientList[Series[(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)/ (1128*t^14 - 47*t^13 - 47*t^12 - 47*t^11 - 47*t^10 - 47*t^9 - 47*t^8 - 47*t^7 - 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 18 2016 *) %t A167646 coxG[{14,1128,-47}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Aug 04 2023 *) %K A167646 nonn %O A167646 0,2 %A A167646 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009