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A307957 Number of planar graphs of order n with exactly one Hamiltonian cycle. 1
0, 0, 1, 2, 3, 12, 49, 460, 4994, 68234, 997486, 15582567, 253005521, 4250680376, 73293572869, 1293638724177 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..16.

Jan Goedgebeur, Barbara Meersman, and Carol T. Zamfirescu, Graphs with few Hamiltonian Cycles, arXiv:1812.05650 [math.CO], 2018.

Eric Weisstein's World of Mathematics, Planar Graph

Eric Weisstein's World of Mathematics, Uniquely Hamiltonian Graph

CROSSREFS

Cf. A307956.

Sequence in context: A012312 A009243 A232864 * A307956 A358716 A002638

Adjacent sequences: A307954 A307955 A307956 * A307958 A307959 A307960

KEYWORD

nonn,more

AUTHOR

Jan Goedgebeur, May 08 2019

STATUS

approved

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Last modified February 3 01:33 EST 2023. Contains 360024 sequences. (Running on oeis4.)