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 A319367 Triangle read by rows: T(n,k) is the number of vertex transitive graphs with n nodes and valency k, (0 <= k < n). 9
 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 0, 2, 0, 3, 0, 2, 0, 1, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 4, 7, 11, 13, 13, 11, 7, 4, 1, 1, 1, 0, 1, 0, 3, 0, 4, 0, 3, 0, 1, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,18 LINKS Andrew Howroyd, Table of n, a(n) for n = 1..496 B. D. McKay and G. F. Royle, The transitive graphs with at most 26 vertices, Ars Combin. 30 (1990), 161-176. (Annotated scanned copy) Gordon Royle, Transitive Graphs Eric Weisstein's World of Mathematics, Vertex-Transitive Graph EXAMPLE Triangle begins, n >= 1, 0 <= k < n: 1; 1, 1; 1, 0, 1; 1, 1, 1, 1; 1, 0, 1, 0, 1; 1, 1, 2, 2, 1, 1; 1, 0, 1, 0, 1, 0, 1; 1, 1, 2, 3, 3, 2, 1, 1; 1, 0, 2, 0, 3, 0, 2, 0, 1; 1, 1, 2, 3, 4, 4, 3, 2, 1, 1; 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1; 1, 1, 4, 7, 11, 13, 13, 11, 7, 4, 1, 1; 1, 0, 1, 0, 3, 0, 4, 0, 3, 0, 1, 0, 1; 1, 1, 2, 3, 6, 6, 9, 9, 6, 6, 3, 2, 1, 1; 1, 0, 3, 0, 8, 0, 12, 0, 12, 0, 8, 0, 3, 0, 1; 1, 1, 3, 7, 16, 27, 40, 48, 48, 40, 27, 16, 7, 3, 1, 1; 1, 0, 1, 0, 4, 0, 7, 0, 10, 0, 7, 0, 4, 0, 1, 0, 1; 1, 1, 4, 7, 16, 24, 38, 45, 54, 54, 45, 38, 24, 16, 7, 4, 1, 1; ... CROSSREFS Columns k=2..12 (even n only for odd k) are A023645, A023646, A023647, A023640, A023641, A023642, A023643, A023644, A023637, A023638, A023639. Row sums are A006799. Cf. A319368, A319372. Sequence in context: A204433 A004578 A319372 * A234514 A343453 A051031 Adjacent sequences: A319364 A319365 A319366 * A319368 A319369 A319370 KEYWORD nonn,tabl AUTHOR Andrew Howroyd, Sep 17 2018 STATUS approved

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Last modified March 25 16:29 EDT 2023. Contains 361528 sequences. (Running on oeis4.)