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A006471 Number of rooted planar maps.
(Formerly M4021)
0
5, 84, 650, 3324, 13020, 42240, 118998, 300300, 693693, 1490060, 3011580 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Walsh, T. R. S.; Lehman, A. B.; Counting rooted maps by genus. III: Nonseparable maps. J. Combinatorial Theory Ser. B 18 (1975), 222-259.

LINKS

Table of n, a(n) for n=1..11.

FORMULA

Conjecture: a(n) = (n*(2+n)^2*(3240 +10158*n +11777*n^2 +6400*n^3 +1770*n^4 +242*n^5 +13*n^6))/60480. G.f.: x*(4*x^3+35*x^2+34*x+5) / (x-1)^10. - Colin Barker, Apr 09 2013

CROSSREFS

Sequence in context: A111834 A271219 A187587 * A258391 A061628 A193369

Adjacent sequences:  A006468 A006469 A006470 * A006472 A006473 A006474

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 18 23:26 EST 2018. Contains 299330 sequences. (Running on oeis4.)