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A374373
Hexagonal numbers that are products of smaller hexagonal numbers.
2
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
1,2
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.
EXAMPLE
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.
Sequence in context: A234416 A218597 A259296 * A020429 A255026 A345588
KEYWORD
nonn
AUTHOR
STATUS
approved