A336145 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.

5, 14, 21, 29, 1154, 26473

Offset

1,1

Comments

m and m+1 both belong to A335785.

10^6 < a(7) <= 740292105. - Jinyuan Wang, Oct 10 2020

Links

Table of n, a(n) for n=1..6.

Michael A. Bennett, Lucas' square pyramid problem revisited, Acta Arithmetica 105 (2002), 341-347.

Michel Marcus and Jinyuan Wang, PARI program

Crossrefs

Cf. A335785.

Sequence in context: A353974 A071317 A167201 * A269871 A323732 A048769

Adjacent sequences: A336142 A336143 A336144 * A336146 A336147 A336148

Keyword

nonn,more

Author

Michel Marcus, Jul 10 2020

Status

approved