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A058787 Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8).

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%I A058787 #4 May 16 2012 22:33:20
%S A058787 1,1,1,1,2,2,2,2,8,11,8,5,2,11,42,74,76,38,14,8,74,296,633,768,558,
%T A058787 219,50,5,76,633,2635,6134,8822,7916,4442,1404,233,38,768,6134,25626,
%U A058787 64439,104213,112082,79773,36528,9714,1249,14,558,8822,64439,268394,709302
%N A058787 Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8).
%C A058787 Rows are of lengths 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, ... floor(3n/2)-5. See A001651 (this is the sequence of integers not divisible by 3).
%H A058787 G. P. Michon, <a href="http://www.numericana.com/data/polyhedra.htm">Counting Polyhedra</a>
%e A058787 There are 38 polyhedra with 9 faces and 11 vertices, or with 11 faces and 9 vertices.
%Y A058787 Cf. A000109, A002856, A000944, A002840, A058786, A058788, A001651.
%Y A058787 A049337, A058787, A212438 are all versions of the same triangle.
%K A058787 hard,nice,nonn,tabf
%O A058787 4,5
%A A058787 _Gerard P. Michon_, Nov 29 2000