A358999 Number of undirected cycles of the Platonic graphs (in the order of tetrahedral, cubical, octahedral, dodecahedral, and icosahedral graph).

7, 28, 63, 1168, 12878

Offset

1,1

Links

Table of n, a(n) for n=1..5.

Seiichi Manyama, Python program (github)

Eric Weisstein's World of Mathematics, Cycle Polynomial

Eric Weisstein's World of Mathematics, Tetrahedral Graph

Eric Weisstein's World of Mathematics, Cubical Graph

Eric Weisstein's World of Mathematics, Octahedral Graph

Eric Weisstein's World of Mathematics, Dodecahedral Graph

Eric Weisstein's World of Mathematics, Icosahedral Graph

Example

   graph \ n-cycle   |  3  4  5   6   7    8    9   10   11   12 13 ...
  -------------------+-------------------------------------------------
   tetrahedral graph |  4  3
       cubical graph |  0  6  0  16   0    6
    octahedral graph |  8 15 24  16
  dodecahedral graph |  0  0 12   0   0   30   20   36  120  100 60 ...
   icosahedral graph | 20 30 72 240 720 1620 2680 3336 2880 1280

Crossrefs

Cf. A053016, A268283, A359000, A359001, A359002.

Sequence in context: A230285 A033582 A176362 * A008457 A138503 A223765

Adjacent sequences: A358996 A358997 A358998 * A359000 A359001 A359002

Keyword

nonn,fini,full

Author

Seiichi Manyama, Dec 10 2022

Status

approved