A371071 Squared volumes of tetrahedra with integer edge lengths, multiplied by 144.

2, 11, 14, 26, 34, 44, 47, 54, 59, 62, 74, 98

Offset

1,1

Comments

The larger terms depend on a lower bound for the minimum volume, which is not yet available. Therefore the data > 100 was removed. See A371072 for progress in determining this lower bound.

Links

Table of n, a(n) for n=1..12.

IBM Research, Tetrahedron Volumes, Ponder This Challenge November 2024.

Hugo Pfoertner, List of tetrahedra with small volumes, (2024); gives known further terms of the sequence.

Wikipedia, Cayley-Menger determinant

Karl Wirth and Andre Dreiding, Edge lengths determining tetrahedrons, Elemente der Mathematik, 64 (2009), 160-170.

Crossrefs

Cf. A097125, A208454, A371070, A371072, A371344.

Sequence in context: A283930 A034039 A077475 * A374446 A168498 A255370

Adjacent sequences: A371068 A371069 A371070 * A371072 A371073 A371074

Keyword

nonn,more

Author

Hugo Pfoertner, Mar 18 2024

Status

approved