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A234635
Numbers of directed Hamiltonian paths in the n-Sierpinski sieve graph.
4
6, 24, 1104, 13957632, 859428866274361344, 1736323895937560083755071573748292907445157625856
OFFSET
1,1
COMMENTS
Explicit formula and asymptotic are given by Chang and Chen (2011).
a(7) contains 137 decimal digits.
LINKS
Eric Weisstein's World of Mathematics, Hamiltonian Path
Eric Weisstein's World of Mathematics, Sierpinski Sieve Graph
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
FORMULA
a(n) = A246957(n)*2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Dec 28 2013
EXTENSIONS
a(5)-a(6) added by Max Alekseyev, Sep 08 2014
STATUS
approved