A371072 a(n)/144 is the minimum squared volume > 0 of a tetrahedron with the sum of its integer edge lengths equal to n.

11, 14, 44, 26, 59, 34, 47, 126, 119, 62, 215, 54, 107, 98, 243, 146, 335, 142, 191, 614, 479, 194, 764, 423, 299, 254, 1004, 239, 851, 322, 304, 783, 887, 134, 479, 1719, 315, 234, 1196, 191, 896, 574, 767, 1127, 151, 674, 956, 956, 671, 146, 1391, 1082, 791, 898, 263, 1184, 151

Offset: 9

Author

Hugo Pfoertner, Mar 19 2024

Keywords

• nonn

Comments

a(6) = 2, but since there are no tetrahedra with volume > 0 for n=7 and n=8, the offset 9 is chosen.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 9..150

Crossrefs

Cf. A097125, A208454, A371070, A371073, A371344.

Subset of A371071.

Programs

PARI

a371072(n) = {my (Vmin=oo); forpart (w=n, forperm (w, v, if(v[4]+v[5]0, Vmin=min(Vmin,CM))), [1, n], [6, 6]); Vmin/2};