%I #9 Oct 11 2020 05:56:09
%S 5,14,21,29,1154,26473
%N Squarefree integers m such that for both m and m+1, the equation x*(x+1)*(x+2) = m*y^2 has at least one solution (x,y) with x>0 and y>0.
%C m and m+1 both belong to A335785.
%C 10^6 < a(7) <= 740292105. - _Jinyuan Wang_, Oct 10 2020
%H Michael A. Bennett, <a href="http://dx.doi.org/10.4064/aa105-4-3">Lucas' square pyramid problem revisited</a>, Acta Arithmetica 105 (2002), 341-347.
%H Michel Marcus and Jinyuan Wang, <a href="/A335715/a335715.txt">PARI program</a>
%Y Cf. A335785.
%K nonn,more
%O 1,1
%A _Michel Marcus_, Jul 10 2020