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 A059441 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. 19
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 REFERENCES L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 279. LINKS Andrew Howroyd, Table of n, a(n) for n = 1..210 B. D. McKay, Applications of a technique for labeled enumeration, Congress. Numerantium, 40 (1983), 207-221. See page 216. Wikipedia, Regular graph EXAMPLE 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, ...; MATHEMATICA 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 *) PROG (PARI) for(n=1, 10, print(A059441(n))) \\ See A295193 for script, Andrew Howroyd, Aug 28 2019 CROSSREFS Row sums are A295193. Columns: A123023 (k=1), A001205 (k=2); A002829 (k=3, with alternating zeros), A005815 (k=4). Cf. A001147, A058891, A319189, A319190, A319612, A319729, A322635, A322659, A322698, A322704. Sequence in context: A283798 A065551 A283797 * A186028 A225054 A059790 Adjacent sequences:  A059438 A059439 A059440 * A059442 A059443 A059444 KEYWORD tabl,nice,nonn AUTHOR N. J. A. Sloane, Feb 01 2001 EXTENSIONS a(37)-a(55) from Andrew Howroyd, Aug 25 2017 STATUS approved

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Last modified May 28 12:18 EDT 2020. Contains 334681 sequences. (Running on oeis4.)