A097125 -id:A097125 - cp's OEIS frontend

A097127 Number of noncongruent integer-sided 5-dimensional simplices with largest side n.

Original entry on oeis.org

1, 10, 197, 3133, 41308, 403753, 3076647, 18364836, 91171940

Offset: 1

Sascha Kurz, Jul 26 2004

Sascha Kurz, Enumeration of integral tetrahedra, J. Integer Seqs., 10 (2007), # 07.9.3.
Sascha Kurz, Enumeration of integral tetrahedra, arXiv:0804.1310 [math.CO], 2008.

Cf. A002620, A097125, A097126.

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

Original entry on oeis.org

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

Hugo Pfoertner, Mar 19 2024

nonn

			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.

Cf. A097125, A208454, A371070, A371072.

Subset of A371071.

cp's OEIS Frontend

A097127 Number of noncongruent integer-sided 5-dimensional simplices with largest side n.

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

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