A319115 Number of simple connected toroidal graphs on n nodes.

0, 0, 0, 0, 1, 13, 207, 5128

Offset

1,6

Comments

a(n) <= A145270(n).

a(n) = A145270(n) for n < 8.

a(8) = A145270(8) - 15 since there are 15 double-toroidal graphs on 8 nodes, all of which are connected.

Links

Table of n, a(n) for n=1..8.

Eric Weisstein's World of Mathematics, Connected Graph

Eric Weisstein's World of Mathematics, Simple Graph

Eric Weisstein's World of Mathematics, Toroidal Graph

Crossrefs

Cf. A145270 (simple connected nonplanar graphs).

Sequence in context: A243783 A206348 A240393 * A145270 A296671 A375176

Adjacent sequences: A319112 A319113 A319114 * A319116 A319117 A319118

Keyword

nonn,more

Author

Eric W. Weisstein, Sep 10 2018

Status

approved