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A120348
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Number of labeled simply-rooted 2-trees with n labeled vertices (i.e. n+2 vertices altogether; a simply-rooted 2-tree is an externally rooted 2-tree whose root edge belongs to exactly one triangle).
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0
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1, 8, 156, 4896, 212520, 11793600, 797448960, 63606090240, 5846743244160, 608588457523200, 70758332701056000, 9088747467351552000, 1278179579224720972800, 195333707771834926694400
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