A319958 Triangle read by rows: T(n,k) (n >= 5, 4 <= k <= n-1) = number of lattice 3-polytopes of width larger than 1, size n, and k vertices.

9, 36, 40, 103, 296, 97, 193, 1195, 1140, 147, 282, 2853, 5920, 2491, 152, 478, 5985, 18505, 16384, 3575, 108, 619, 11432, 48103, 64256, 28570, 3425, 59, 858, 18126, 106710, 203600, 138648, 33147, 2333, 21, 1093, 28386, 202579, 523136, 523396, 196635, 26330, 1077, 8, 1410, 42942, 365279, 1168009, 1562709, 880813, 191762, 14235, 367, 2, 1596, 59804, 612700, 2391302, 4030979, 3051531, 1012535, 129149, 5148, 79, 1

Offset

5,1

Links

Table of n, a(n) for n=5..70.

Mónica Blanco and Francisco Santos, Enumeration of lattice 3-polytopes by their number of lattice points, arXiv:1601.02577 [math.CO], 2016-2017. See Table 2 p. 36.

Mónica Blanco and Francisco Santos, 3d-Polytopes with few lattice points at polyDB, maintained by Andreas Paffenholz.

Crossrefs

Row sums are A319957.

Cf. A319959-A319965.

Sequence in context: A231666 A143224 A192610 * A329808 A169580 A258844

Adjacent sequences: A319955 A319956 A319957 * A319959 A319960 A319961

Keyword

nonn,tabl

Author

N. J. A. Sloane, Oct 04 2018

Extensions

Rows 12-15 from polyDB added by Andrey Zabolotskiy, Jan 11 2024

Status

approved