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A000473
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Number of genus 0 rooted maps with 5 faces with n vertices
(Formerly M4953 N2122)
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0
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14, 386, 5868, 65954, 614404, 5030004, 37460376, 259477218, 1697186964, 10596579708, 63663115880, 370293754740, 2095108370600, 11574690111400, 62629794691632, 332742342741090, 1739371969822260, 8961709528660140, 45576855706440520, 229087231033907708, 1139285054092356600, 5611104308926917080, 27390892247090716240, 132623307003710514420, 637333229992836181896, 3041531242991820934488, 14421693905846535650832, 67972746771087135284136, 318584265673384315590608, 1485401635737983585270352, 6891877654051649398771808, 31829958366568330959866722, 146372173012304760045034356, 670368609014709308643509388, 3058448075196556941693359112, 13903120046858488772927497260
(list; graph; refs; listen; history; internal format)
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OFFSET
| 4,1
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REFERENCES
| N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Tutte, W. T.; On the enumeration of planar maps. Bull. Amer. Math. Soc. 74 1968 64-74.
T. R. S. Walsh, Combinatorial Enumeration of Non-Planar Maps. Ph.D. Dissertation, Univ. of Toronto, 1971.
T. R. S. Walsh and A. B. Lehman, Counting rooted maps by genus, J. Comb. Thy B13 (1972), 122-141 and 192-218.
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FORMULA
| G.f.: x(1-sqrt(1-4x))(17+16x-(10+4x)sqrt(1-4x))/(1-4x)^(11/2)
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CROSSREFS
| Sequence in context: A184268 A159535 A171718 * A097310 A041367 A041364
Adjacent sequences: A000470 A000471 A000472 * A000474 A000475 A000476
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms and g.f. from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 14 2010
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