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A126766 Minimum length of longest edge of a tetrahedron with integer edges and integer volume 3*n. 1
76, 7, 8, 16, 8, 16, 10, 7, 40, 11, 27, 12, 308, 13, 84, 9, 128, 17, 28, 16, 16, 16, 34, 12, 20, 17, 91, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A tetrahedron with integer edges has an integer volume only when the volume is a multiple of 3. It is unknown whether such tetrahedra exist for every multiple of 3.

LINKS

Table of n, a(n) for n=1..28.

K. L. Dove and J. S. Sumner, Tetrahedra with Integer Edges and Integer Volume, Mathematics Magazine, Volume 65(2), April 1992, pp. 104-111.

CROSSREFS

Sequence in context: A068942 A116234 A065669 * A088215 A033396 A196110

Adjacent sequences:  A126763 A126764 A126765 * A126767 A126768 A126769

KEYWORD

more,nonn

AUTHOR

William Rex Marshall, Feb 15 2007

STATUS

approved

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)