A343432 Sorted numbers of spanning trees in the graphs of the Archimedean solids.

6000, 331776, 32400000, 101154816, 301056000000, 89904012853248, 208971104256000, 12418325780889600, 4982259375000000000, 375291866372898816000, 201550864919150779950956544000, 438201295386966498858139607040000000, 21789262703685125511464767107171876864000

Offset

1,1

Comments

The duals (Catalan solids) have the same number of spanning trees as their Archimedean counterparts.

Links

Table of n, a(n) for n=1..13.

Example

The solids are in order:
  truncated tetrahedron (6000),
  cuboctahedron (331776),
  truncated cube (32400000),
  truncated octahedron (101154816),
  rhombicuboctahedron (301056000000),
  snub cube (89904012853248),
  icosidodecahedron (208971104256000),
  truncated cuboctahedron (12418325780889600),
  truncated dodecahedron (4982259375000000000),
  truncated icosahedron (375291866372898816000),
  rhombicosidodecahedron (201550864919150779950956544000),
  snub dodecahedron (438201295386966498858139607040000000),
  truncated icosidodecahedron (21789262703685125511464767107171876864000).

Crossrefs

Cf. A343209, A343213, A343433.

Sequence in context: A171351 A068132 A250514 * A115429 A046395 A143043

Adjacent sequences: A343429 A343430 A343431 * A343433 A343434 A343435

Keyword

nonn,fini,full

Author

Pontus von Brömssen, Apr 15 2021

Status

approved