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A006429 Number of tree-rooted planar maps with 4 vertices and n faces.
(Formerly M3716)

%I M3716

%S 0,4,135,1368,7350,28400,89073,241220,585057,1301420,2699125

%N Number of tree-rooted planar maps with 4 vertices and n faces.

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

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

%F Conjecture (for n>1): a(n) = n*(n+2)*(13*n^7+268*n^6+2254*n^5+4900*n^4-10703*n^3-62048*n^2+28596*n+137520) / 60480. - _Sean A. Irvine_, Apr 10 2017

%K nonn

%O 1,2

%A _N. J. A. Sloane_.

%E Title improved by _Sean A. Irvine_, Apr 10 2017

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Last modified December 6 08:53 EST 2019. Contains 329788 sequences. (Running on oeis4.)