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 A120436 #14 Oct 05 2019 11:53:02
%S A120436 0,6,210
%N A120436 Complete list of numbers that can be represented both as a product of 2 consecutive integers and as a product of 3 consecutive integers.
%C A120436 Mordell shows that the only integer points on the elliptic curve y*(y+1) = x*(x+1)*(x+2) have x = -2, -1, 0, 1, 5, corresponding to the products 0, 6, 210. However, there are infinitely many rational points generated from (x,y) = (0,0) by the chord-and-tangent process. - _Jonathan Sondow_, Oct 12 2013
%D A120436 Louis J. Mordell, Diophantine Equations, Academic Press 1969, p. 257.
%F A120436 Terms can be derived from the integral solutions to the elliptic curve y^2 = x^3 - 16*x + 16.
%e A120436 210 = 14*15 = 5*6*7.
%t A120436 Module[{nn=20,p2,p3},p2=Times@@@Partition[Range[0,nn],2,1];p3= Times@@@ Partition[ Range[0,nn],3,1];Intersection[p2,p3]] (* _Harvey P. Dale_, Oct 05 2019 *)
%Y A120436 Intersection of A002378 and A007531.
%K A120436 fini,full,nonn,bref
%O A120436 1,2
%A A120436 _Andrew Niedermaier_, Jul 16 2006