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Search: id:A118451
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| A118451 |
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Number of rooted n-edge maps on a non-orientable genus-3 surface. |
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+0
1
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| 41, 1380, 31225, 592824, 10185056, 164037704, 2525186319, 37596421940, 545585129474, 7758174844664, 108518545261360, 1497384373878512, 20426386710028260, 275940187259609296, 3696482210884173349
(list; graph; listen)
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OFFSET
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3,1
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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)(R+1)(68R^5+280R^4+588R^3+808R^2+416R -(28R^4+59R^3+114R^2+119R+40)sqrt(12R(R+2)))/96R^5(R+2)^3, where R=sqrt(1-12x).
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CROSSREFS
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Cf. A006344.
Sequence in context: A016093 A130639 A014937 this_sequence A094455 A076462 A009985
Adjacent sequences: A118448 A118449 A118450 this_sequence A118452 A118453 A118454
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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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