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A234635 Numbers of directed Hamiltonian paths in the n-Sierpinski sieve graph. 3
6, 24, 1104, 13957632, 859428866274361344, 1736323895937560083755071573748292907445157625856 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

a(7) contains 137 decimal digits.

LINKS

Table of n, a(n) for n=1..6.

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

Cf. A246957, A246958, A246959

Sequence in context: A139240 A052524 A267032 * A036284 A139235 A184388

Adjacent sequences:  A234632 A234633 A234634 * A234636 A234637 A234638

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Dec 28 2013

EXTENSIONS

a(5)-a(6) added by Max Alekseyev, Sep 08 2014

STATUS

approved

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Last modified August 4 03:15 EDT 2021. Contains 346441 sequences. (Running on oeis4.)