A297385 Number of Eulerian cycles in the n X n torus grid graph.

2, 40, 8616, 15639936, 242230440480, 32098460087825856, 36433115190009846104160

Offset: 1

Author

Eric W. Weisstein, Dec 29 2017

Keywords

• nonn
• more

Comments

a(3) is also the number of Eulerian cycles in the 3 X 3 rook graph.

a(4) is also the number of Eulerian cycles in the 4-hypercube (tesseract) graph Q_4.

Links

• Eric Weisstein's World of Mathematics, Eulerian Cycle
• Eric Weisstein's World of Mathematics, Torus Grid Graph

Crossrefs

Main diagonal of A298117.

Cf. A054759, A212803.

Extensions

a(4)-a(7) from Andrew Howroyd, Jan 12 2018

a(1)-a(2) from Andrew Howroyd, Jan 12 2018