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Search: id:A118448
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| A118448 |
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Number of rooted n-edge one-vertex maps on a non-orintable genus-3 surface (dually: one-face maps). |
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+0
3
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| 41, 690, 7150, 58760, 420182, 2736524, 16661580, 96411060, 536075430, 2886649260, 15139322276, 77665981120, 391031449340, 1937266785080, 9464122525784, 45670084085004, 218002466412870, 1030588793671980
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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One-vertex maps on the Klein bottle are counted by A118447, and one-vertex maps on a non-orintable genus-4 surface by A118449. Such maps are also called bouquets of loops (and their duals are called unicellular maps).
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REFERENCES
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E. R. Canfield, Calculating the number of rooted maps on a surface, Congr. Numerantium, 76 (1990), 21-34.
D. M. Jackson and T. I. Visentin, An atlas of the smaller maps in orientable and nonorientable surfaces. CRC Press, Boca Raton, 2001.
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FORMULA
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O.g.f.: (R-1)^3(R+1)^2(11R^2-29R-64)/64R^8, where R=sqrt(1-4x).
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CROSSREFS
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Sequence in context: A143010 A009730 A009761 this_sequence A060563 A125551 A087856
Adjacent sequences: A118445 A118446 A118447 this_sequence A118449 A118450 A118451
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KEYWORD
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nonn
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AUTHOR
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Valery A. Liskovets (liskov(AT)im.bas-net.by), May 04 2006
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