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 A386775 #11 Aug 11 2025 10:31:53 %S A386775 2,3,4,6,8,9,9,10,14,16,18,20,24,25,26,30,34,36 %N A386775 Place a point on the integer coordinates, up to |k|, along all four axial directions on a Cartesian plane, and then join an infinite straight line between every pair of points: a(n) is the smallest k such that n lines intersect at a point not on the axes. %C A386775 See A386559 for images of the graph intersections. %e A386775 a(9) = 10 as the following 9 lines all intersect at the point (4,3) while having |x| and |y| intercepts <= 10 : %e A386775 . %e A386775 equation | y-intercept | x-intercept %e A386775 ------------------------------------------------- %e A386775 -3/2*x + 9 | 9 | 6 %e A386775 -x + 7 | 7 | 7 %e A386775 -3/4*x + 6 | 6 | 8 %e A386775 -1/2*x + 5 | 5 | 10 %e A386775 1/4*x + 2 | 2 | -8 %e A386775 1/2*x + 1 | 1 | -2 %e A386775 x - 1 | -1 | 1 %e A386775 3/2*x - 3 | -3 | 2 %e A386775 3*x - 9 | -9 | 3 %e A386775 ------------------------------------------------- %Y A386775 Cf. A386559. %K A386775 nonn,more %O A386775 2,1 %A A386775 _Scott R. Shannon_, Aug 02 2025