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A246957
Numbers of (undirected) Hamiltonian paths in the n-Sierpiński gasket graph.
4
3, 12, 552, 6978816, 429714433137180672, 868161947968780041877535786874146453722578812928
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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.
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
.
Sequence in context:
A249940
A132515
A279122
*
A381789
A216897
A262541
Adjacent sequences:
A246954
A246955
A246956
*
A246958
A246959
A246960
KEYWORD
nonn
AUTHOR
Max Alekseyev
, Sep 08 2014
STATUS
approved