A364151 Tetrahedral numbers that are products of smaller tetrahedral numbers.

1, 560, 19600, 43680, 45760, 893200, 1521520, 7207200, 29269240, 2845642800, 22778408800, 26595476600, 59777945920, 199910480000, 239526427140, 249466897680, 283345302240, 3280499995500, 20894643369600, 115333903584900, 408688050971200, 706949015272500, 4613394351142500

Offset: 1

Author

Pontus von Brömssen, Jul 15 2023

Keywords

• nonn

Examples

			1 is a term because 1 is a tetrahedral number and equals the empty product.
560 is a term because 560 = C(16,3) = C(5,3) * C(8,3). (C(n,k) is the binomial coefficient.)
45760 is a term because 45760 = C(66,3) = C(4,3)^2 * C(5,3) * C(13,3).
3280499995500 is a term because 3280499995500 = C(27001,3) = C(4,3) * C(15,3) * C(31,3) * C(135,3).
		

Crossrefs

Cf. A000292, A068143 (analog for triangular numbers), A196568 (only two factors allowed), A363636, A364152.

Row n=3 of A374498.

Extensions

More terms from Jinyuan Wang, Jul 31 2023