A331012 16 * squared area of triangles with integer sides i <= j <= k, such that more triples of sides produce the same area as for any smaller area.

3, 63, 1575, 5760, 24255, 51975, 80640, 172800, 322560, 403200, 1209600, 2822400, 4435200, 8870400, 15523200, 17740800, 53222400, 125798400, 146764800

Offset: 1

Author

Hugo Pfoertner, Jan 07 2020

Keywords

• nonn
• more

Comments

The corresponding record counts of triangles are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 20, 26, 30, 34, 35, ... .

Conjectured further terms are 226195200 (42 representations), 230630400 (52 representations), 372556800 (55 representations).

Examples

			See A331011.
		

Crossrefs

Cf. A316841, A316853, A317182, A331011.