A208454 Number of nondegenerate noncongruent tetrahedra with integer edge lengths and total edge length n.

1, 0, 0, 1, 1, 1, 3, 2, 3, 6, 6, 7, 12, 11, 18, 21, 25, 31, 38, 46, 56, 66, 76, 90, 117, 123, 151, 175, 196, 234, 264, 297, 346, 391, 448, 492, 568, 630, 702, 797, 884, 977, 1089, 1217, 1338, 1469, 1624, 1771, 1970, 2146, 2343, 2579, 2782, 3042, 3322

Offset: 6

Author

Philip Benjamin, Feb 26 2012

Keywords

• nonn

Comments

a(78) = 12345.

Selected values of a(n) up to n=20000 are contained in the East-Hendriksen-Park paper and supplementary website.

Links

• James East, Table of n, a(n) for n = 6..3000
• James East, Michael Hendriksen, and Laurence Park, On the enumeration of integer tetrahedra, arXiv:2112.00899 [math.CO], 2021.
• James East, Michael Hendriksen, and Laurence Park, On the enumeration of integer tetrahedra, supplementary material.

Crossrefs

Cf. A097125.