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

1,1

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).

Links

Table of n, a(n) for n=1..19.

Example

See A331011.

Crossrefs

Cf. A317182, A331011.

Sequence in context: A370827 A133275 A258657 * A369955 A123687 A159605

Adjacent sequences: A331009 A331010 A331011 * A331013 A331014 A331015

Keyword

nonn,more

Author

Hugo Pfoertner, Jan 07 2020

Status

approved