A191094 Number of n-cell fixed tree-like polycubes in 4 dimensions.

1, 4, 28, 228, 2018, 18892, 184400, 1857856, 19189675, 202214452, 2166161808, 23524929636, 258472939904

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.

Robert P. P. McKone, a(1)-a(6), all 4-dimensional n-cell tree-like polycubes.

Robert P. P. McKone, Python program to calculate a(n).

Crossrefs

Cf. A066158 (fixed tree-like polyominoes), A118356, A191095, A191096, A191097, A191098 (fixed tree-like polycubes in 3, 5, 6, 7, and 8 dimensions, resp.).

Sequence in context: A192620 A180708 A370187 * A220876 A152599 A199579

Adjacent sequences: A191091 A191092 A191093 * A191095 A191096 A191097

Keyword

nonn,more,hard

Author

Gill Barequet, May 25 2011

Extensions

a(11) from Robert P. P. McKone, Feb 09 2026

a(12)-a(13) using data from Gaunt and Peard added by Andrei Zabolotskii, Apr 04 2026

Status

approved