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

1,2

Links

Table of n, a(n) for n=1..23.

Example

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.

Sequence in context: A169719 A104591 A318119 * A196568 A171347 A193171

Adjacent sequences: A364148 A364149 A364150 * A364152 A364153 A364154

Keyword

nonn

Author

Pontus von Brömssen, Jul 15 2023

Extensions

More terms from Jinyuan Wang, Jul 31 2023

Status

approved