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 A167670 #12 Feb 14 2023 22:50:09 %S A167670 1,14,182,2366,30758,399854,5198102,67575326,878479238,11420230094, %T A167670 148462991222,1930018885886,25090245516518,326173191714734, %U A167670 4240251492291542,55123269399789955,716602502197268232 %N A167670 Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)^2 = (S_i S_j)^15 = I. %C A167670 The initial terms coincide with those of A170733, although the two sequences are eventually different. %C A167670 Computed with MAGMA using commands similar to those used to compute A154638. %H A167670 G. C. Greubel, <a href="/A167670/b167670.txt">Table of n, a(n) for n = 0..500</a> %H A167670 <a href="/index/Rec#order_15">Index entries for linear recurrences with constant coefficients</a>, signature (12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, -78). %F A167670 G.f.: (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)/(78*t^15 - 12*t^14 - 12*t^13 - 12*t^12 - 12*t^11 - 12*t^10 - 12*t^9 - 12*t^8 - 12*t^7 - 12*t^6 - 12*t^5 - 12*t^4 - 12*t^3 - 12*t^2 - 12*t + 1). %t A167670 CoefficientList[Series[(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)/(78*t^15 - 12*t^14 - 12*t^13 - 12*t^12 - 12*t^11 - 12*t^10 - 12*t^9 - 12*t^8 - 12*t^7 - 12*t^6 - 12*t^5 - 12*t^4 - 12*t^3 - 12*t^2 - 12*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 19 2016 *) %t A167670 coxG[{15,78,-12}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 14 2023 *) %K A167670 nonn %O A167670 0,2 %A A167670 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009