A191096 Number of n-cell fixed tree-like polycubes in 6 dimensions.

1, 6, 66, 886, 13281, 213978, 3630090, 64012932, 1163283354, 21654886446, 411129039048, 7934641120068, 155277133689762

Offset

1,2

References

G. Aleksandrowicz and G. Barequet, Parallel enumeration of lattice animals, Proc. 5th Int. Frontiers of Algorithmics Workshop, Zhejiang, China, Lecture Notes in Computer Science, 6681, Springer-Verlag, 90-99, May 2011.

Links

Table of n, a(n) for n=1..13.

Gill Barequet, Gil Ben-Shachar, and Martha Carolina Osegueda, Applications of Concatenation Arguments to Polyominoes and Polycubes, EuroCG '20, 36th European Workshop on Computational Geometry, (Würzburg, Germany, 16-18 March 2020).

D. S. Gaunt and P. J. Peard, 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers, J. Phys. A: Math. Gen., 33 (2000), 7515-7539. See Appendix A; set y=z=0 in the polynomials to get this sequence.

Crossrefs

Cf. A066158 (fixed tree-like polyominoes), A118356, A191094, A191095, A191097, A191098 (fixed tree-like polycubes in 3, 4, 5, 7, and 8 dimensions, resp.).

Sequence in context: A382364 A124862 A130977 * A151832 A378840 A133306

Adjacent sequences: A191093 A191094 A191095 * A191097 A191098 A191099

Keyword

nonn,more,hard

Author

Gill Barequet, May 25 2011

Extensions

a(9)-a(13) using data from Gaunt and Peard added by Andrei Zabolotskii, Apr 04 2026

Status

approved