A268283 Number of distinct directed Hamiltonian cycles of the Platonic graphs (in the order of tetrahedral, cubical, octahedral, dodecahedral, and icosahedral graph).

6, 12, 32, 60, 2560

Offset

1,1

Comments

a(n)/2 is the number of distinct undirected Hamiltonian cycles of the Platonic graph corresponding to a(n).

Links

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

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

Crossrefs

Cf. A052762 (tetrahedral graph), A140986 (cubical graph), A115400 (octahedral graph), A218513 (dodecahedral graph), A218514 (icosahedral graph).

Sequence in context: A263587 A085611 A122608 * A372702 A196992 A321839

Adjacent sequences: A268280 A268281 A268282 * A268284 A268285 A268286

Keyword

nonn,fini,full

Author

Melvin Peralta, Jan 29 2016

Status

approved