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A059441
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Triangle T(n,k) (n >= 1, 0 <= k <= n-1) giving number of regular labeled graphs with n nodes and degree k, read by rows.
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23
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1, 1, 1, 1, 0, 1, 1, 3, 3, 1, 1, 0, 12, 0, 1, 1, 15, 70, 70, 15, 1, 1, 0, 465, 0, 465, 0, 1, 1, 105, 3507, 19355, 19355, 3507, 105, 1, 1, 0, 30016, 0, 1024380, 0, 30016, 0, 1, 1, 945, 286884, 11180820, 66462606, 66462606, 11180820, 286884, 945, 1
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listen;
history;
text;
internal format)
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OFFSET
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1,8
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REFERENCES
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L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 279.
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LINKS
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EXAMPLE
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1;
1, 1;
1, 0, 1;
1, 3, 3, 1;
1, 0, 12, 0, 1;
1, 15, 70, 70, 15, 1;
1, 0, 465, 0, 465, 0, 1;
1, 105, 3507, 19355, 19355, 3507, 105, 1;
1, 0, 30016, 0, 1024380, ...;
1, 945, 286884, 11180820, 66462606, ...;
1, 0, 3026655, 0, 5188453830, ...;
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MATHEMATICA
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Table[SeriesCoefficient[Product[1+Times@@x/@s, {s, Subsets[Range[n], {2}]}], Sequence@@Table[{x[i], 0, k}, {i, n}]], {n, 9}, {k, 0, n-1}] (* Gus Wiseman, Dec 24 2018 *)
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PROG
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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