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Search: id:A118449
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| A118449 |
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Number of rooted n-edge one-vertex maps on a non-orintable genus-4 surface (dually: one-face maps). |
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+0
2
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| 488, 11660, 160680, 1678880, 14771680, 115457832, 827303280, 5545466520, 35257287120, 214730922120, 1262004908528, 7197437563680, 40007524376960, 217501266966160, 1159737346931040, 6079078540464072, 31385516059734960
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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One-vertex maps on a non-orintable genus-3 surface are counted by A118448. 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)^4(R+1)^3(65R^3+337R^2-433R-945)/256R^11, where R=sqrt(1-4x).
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CROSSREFS
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Sequence in context: A097766 A126819 A045011 this_sequence A068751 A056936 A056052
Adjacent sequences: A118446 A118447 A118448 this_sequence A118450 A118451 A118452
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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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