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A361072
Number of assembly trees for the complete tripartite graph K_{n,n,n}.
2
3, 672, 1065960, 5384957760, 62421991632000, 1384386516152640000, 52302971661503603040000, 3105288818333100374976000000, 273018704366102767367501606400000, 33963457896477610629976094607360000000
OFFSET
1,1
LINKS
Andrew Vince and Miklos Bona, The Number of Ways to Assemble a Graph, arXiv preprint, arXiv:1204.3842 [math.CO], 2012. See Theorem 23.
Andrew Vince and Miklos Bona, The Number of Ways to Assemble a Graph, The Electronic Journal of Combinatorics, Volume 19, Issue 4 (2012), Article P54.
Eric Weisstein's World of Mathematics, Assembly Number
Eric Weisstein's World of Mathematics, Complete Tripartite Graph
MATHEMATICA
Table[n!^3 SeriesCoefficient[1 - Sqrt[(1 - x)^2 + (1 - y)^2 + (1 - z)^2 - 2], {x, 0, n}, {y, 0, n}, {z, 0, n}], {n, 10}]
CROSSREFS
Cf. A217523 (number of assembly trees for K_{n,n})
Sequence in context: A229668 A165343 A278316 * A266639 A203496 A308323
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Mar 01 2023
STATUS
approved