A101390 Number of n-vertex unlabeled mating graphs (cf. A006024) without endpoints.
1, 0, 1, 2, 7, 41, 347, 5447, 158097, 8456025
Offset: 1
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k = {}; For[i = 1, i < 8, i++, lg = ListGraphs[i] ; len = Length[lg]; k = Append[k, Length[Select[Range[len], Det[ToAdjacencyMatrix[lg[[ # ]]]] == 0 && Length[Union[ToAdjacencyMatrix[lg[[ # ]]]]] == i &]]]]; k
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