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Search: id:A003584
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| A003584 |
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Unicursal (i.e. possessing an Eulerian path) planar rooted maps with n edges. |
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+0
2
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| 1, 2, 9, 52, 336, 2304, 16368, 118976, 878592, 6562816, 49447424, 375072768, 2860343296, 21909012480, 168425533440, 1298753372160, 10041201131520, 77809145610240, 604138825973760, 4698956908462080, 36604934482821120
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Unicursal (in a broad sense) means that no more than two vertices are of odd valency (that is maps possessing an Eulerian path or cycle).
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REFERENCES
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V. A. Liskovets and T. R. S. Walsh, Enumeration of Eulerian and unicursal planar maps, Discr. Math., 282 (2004), 209-221.
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CROSSREFS
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Cf. A000257, A005470.
a(n)=A000257(n) + A069720(n)
Sequence in context: A026945 A009310 A091319 this_sequence A069271 A006152 A143508
Adjacent sequences: A003581 A003582 A003583 this_sequence A003585 A003586 A003587
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KEYWORD
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nonn,nice
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AUTHOR
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Valery A. Liskovets (liskov(AT)im.bas-net.by)
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EXTENSIONS
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More terms from Valery A. Liskovets (liskov(AT)im.bas-net.by), Apr 07 2002
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