A371073 a(n)/144 is the maximum squared volume of a tetrahedron with the sum of its integer edge lengths equal to n.

11, 14, 44, 128, 108, 188, 368, 448, 828, 1458, 1584, 2151, 3159, 3824, 5616, 8192, 9200, 11504, 15104, 17975, 23600, 31250, 35100, 41975, 51875, 60444, 74700, 93312, 104076, 120924, 143856, 164591, 195804, 235298, 260288, 296303, 343343, 387008, 448448, 524288

Offset

9,1

Links

Table of n, a(n) for n=9..48.

Example

a(12) = 128 corresponds to the regular tetrahedron with all edges equal to 2. Its volume is V=sqrt(2)*2^3/12; V^2 = 2*2^6/12^2 = 128/144.

Crossrefs

Cf. A097125, A208454, A371070, A371072.

Subset of A371071.

Sequence in context: A195818 A344825 A371072 * A344842 A101840 A061087

Adjacent sequences: A371070 A371071 A371072 * A371074 A371075 A371076

Keyword

nonn

Author

Hugo Pfoertner, Mar 19 2024

Status

approved