login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 A051031 A181059

Adjacent sequences:  A319364 A319365 A319366 * A319368 A319369 A319370

KEYWORD

nonn,tabl

AUTHOR

Andrew Howroyd, Sep 17 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 18 05:40 EST 2019. Contains 320245 sequences. (Running on oeis4.)