A358999 - OEIS

%I #17 Dec 10 2022 08:09:31

%S 7,28,63,1168,12878

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

%H Seiichi Manyama, <a href="https://github.com/manman4/OEIS_03/blob/main/358/358999/358999_01.py">Python program</a> (github)

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CyclePolynomial.html">Cycle Polynomial</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/TetrahedralGraph.html">Tetrahedral Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CubicalGraph.html">Cubical Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/OctahedralGraph.html">Octahedral Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DodecahedralGraph.html">Dodecahedral Graph</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/IcosahedralGraph.html">Icosahedral Graph</a>

%e    graph \ n-cycle   |  3  4  5   6   7    8    9   10   11   12 13 ...

%e   -------------------+-------------------------------------------------

%e    tetrahedral graph |  4  3

%e        cubical graph |  0  6  0  16   0    6

%e     octahedral graph |  8 15 24  16

%e   dodecahedral graph |  0  0 12   0   0   30   20   36  120  100 60 ...

%e    icosahedral graph | 20 30 72 240 720 1620 2680 3336 2880 1280

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

%K nonn,fini,full

%O 1,1

%A _Seiichi Manyama_, Dec 10 2022