A374373 Hexagonal numbers that are products of smaller hexagonal numbers.

1, 2850, 61776, 79800, 103740, 145530, 437580, 719400, 810901, 828828, 1050525, 1185030, 1788886, 2031120, 2162160, 2821500, 4250070, 4959675, 9217071, 12298320, 12457536, 16356340, 22899528, 23334696, 24890040, 30728880, 32800950, 45158256, 48565440, 58487520

Offset: 1

Author

Pontus von Brömssen, Jul 07 2024

Keywords

• nonn

Comments

There are infinitely many terms where the corresponding product has two factors. This can be proved by solving a certain generalized Pell equation, as in A374372.

Examples

			1 is a term because it is a hexagonal number and equals the empty product.
2850 is a term because it is a hexagonal number and equals the product of the hexagonal numbers 15 and 190.
103740 is a term because it is a hexagonal number and equals the product of the hexagonal numbers 6, 91, and 190. (This is the first term that requires more than two factors.)
		

Crossrefs

Row n=6 of A374370.

Cf. A000384, A374372.