A365560 Number of fixed n-polysticks (or polyedges) in 3 dimensions.

3, 15, 95, 681, 5277, 43086, 365313, 3186444, 28414802, 257908020, 2375037477, 22136623447, 208438845633, 1979867655945, 18948498050586, 182549617674339, 1768943859449895, 17230208981859485

Offset: 1

Author

Pontus von Brömssen, Sep 09 2023

Keywords

• nonn
• hard
• more

Links

• Stephan Mertens and Cristopher Moore, Series expansion of the percolation threshold on hypercubic lattices, J. Phys. A: Math. Theor., 51 (2018), 475001; arXiv:1805.02701 [cond-mat.stat-mech], 2018.
• Index entries for sequences related to polyominoes.

Crossrefs

Cf. A096267 (2 dimensions), A365559 (free), A365562 (4 dimensions), A365564 (5 dimensions).

14th row of A366767.

Extensions

a(9)-a(12) from John Mason, Mar 06 2025

a(13) from John Mason, Mar 23 2025

a(14)-a(18) from Mertens & Moore added by Andrei Zabolotskii, Jun 27 2025