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A342059
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Triangle read by rows: T(n,k) is the number of embeddings on the sphere of 2-connected planar graphs with n nodes and k faces up to orientation preserving isomorphisms, n >= 3, k=2..2*n-4.
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5
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1, 1, 1, 1, 1, 2, 5, 2, 1, 1, 3, 17, 31, 22, 6, 2, 1, 4, 42, 157, 318, 265, 123, 26, 6, 1, 6, 87, 576, 2128, 4009, 4055, 2332, 804, 147, 17, 1, 7, 161, 1664, 9659, 31252, 59244, 66289, 46521, 20604, 5743, 892, 73, 1, 9, 286, 4151, 34700, 168757, 505410, 952044, 1156127, 931227, 506318, 183980, 43180, 5876, 389
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OFFSET
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3,6
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COMMENTS
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The number of edges is n+k-2.
Terms of this sequence can be computed using the tool "plantri". The expanded reference gives rows 3..15 of this table.
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LINKS
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FORMULA
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T(n,2) = 1.
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EXAMPLE
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Triangle begins:
1;
1, 1, 1;
1, 2, 5, 2, 1;
1, 3, 17, 31, 22, 6, 2;
1, 4, 42, 157, 318, 265, 123, 26, 6;
1, 6, 87, 576, 2128, 4009, 4055, 2332, 804, 147, 17;
...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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