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A191098
Number of n-cell fixed tree-like polycubes in 8 dimensions.
6
1, 8, 120, 2248, 47636, 1093464, 26561200, 673009760, 17619928730, 473509507688, 12999265552856, 363263931410104, 10304997701241900
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
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, A191096, A191097 (fixed tree-like polycubes in 3, 4, 5, 6, and 7 dimensions, resp.).
Sequence in context: A130979 A239226 A133308 * A151834 A007762 A385286
KEYWORD
nonn,more,hard,changed
AUTHOR
Gill Barequet, May 25 2011
EXTENSIONS
a(6)-a(7) corrected, a(8)-a(13) added using data from Gaunt and Peard by Andrei Zabolotskii, Apr 04 2026
STATUS
approved