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

6,7

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.

Sequence in context: A214297 A022472 A014679 * A187499 A187501 A274462

Adjacent sequences: A208451 A208452 A208453 * A208455 A208456 A208457

Keyword

nonn

Author

Philip Benjamin, Feb 26 2012

Status

approved