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 A170649 #10 May 04 2024 12:11:51
%S A170649 1,16,240,3600,54000,810000,12150000,182250000,2733750000,41006250000,
%T A170649 615093750000,9226406250000,138396093750000,2075941406250000,
%U A170649 31139121093750000,467086816406250000,7006302246093750000
%N A170649 Number of reduced words of length n in Coxeter group on 16 generators S_i with relations (S_i)^2 = (S_i S_j)^49 = I.
%C A170649 The initial terms coincide with those of A170735, although the two sequences are eventually different.
%C A170649 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170649 <a href="/index/Rec#order_49">Index entries for linear recurrences with constant coefficients</a>, signature (14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, -105).
%F A170649 G.f.: (t^49 + 2*t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 +
%F A170649 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A170649 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A170649 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A170649 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 +
%F A170649 1)/(105*t^49 - 14*t^48 - 14*t^47 - 14*t^46 - 14*t^45 - 14*t^44 - 14*t^43
%F A170649 - 14*t^42 - 14*t^41 - 14*t^40 - 14*t^39 - 14*t^38 - 14*t^37 - 14*t^36 -
%F A170649 14*t^35 - 14*t^34 - 14*t^33 - 14*t^32 - 14*t^31 - 14*t^30 - 14*t^29 -
%F A170649 14*t^28 - 14*t^27 - 14*t^26 - 14*t^25 - 14*t^24 - 14*t^23 - 14*t^22 -
%F A170649 14*t^21 - 14*t^20 - 14*t^19 - 14*t^18 - 14*t^17 - 14*t^16 - 14*t^15 -
%F A170649 14*t^14 - 14*t^13 - 14*t^12 - 14*t^11 - 14*t^10 - 14*t^9 - 14*t^8 -
%F A170649 14*t^7 - 14*t^6 - 14*t^5 - 14*t^4 - 14*t^3 - 14*t^2 - 14*t + 1).
%F A170649 a(n) = -105*a(n-49) + 14*Sum_{k=1..48} a(n-k). - _Wesley Ivan Hurt_, May 04 2024
%t A170649 coxG[{49,105,-14}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 15 2017 *)
%K A170649 nonn
%O A170649 0,2
%A A170649 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009