A246957 Numbers of (undirected) Hamiltonian paths in the n-Sierpiński gasket graph.

3, 12, 552, 6978816, 429714433137180672, 868161947968780041877535786874146453722578812928

Offset: 1

Author

Max Alekseyev, Sep 08 2014

Keywords

• nonn

Comments

Explicit formula and asymptotic are given by Chang and Chen (2011).

a(7) contains 137 decimal digits.

Links

• S.-C. Chang, L.-C. Chen. Hamiltonian walks on the Sierpinski gasket, J. Math. Phys. 52 (2011), 023301. doi:10.1063/1.3545358. arXiv:0909.5541.
• Eric Weisstein's World of Mathematics, Hamiltonian Path.
• Eric Weisstein's World of Mathematics, Sierpiński Gasket Graph.

Crossrefs

Cf. A234635, A246958, A246959.