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%I #9 May 01 2020 07:56:46
%S 1,2,1,6,3,1,16,10,3,1,46,30,11,3,1,128,91,34,11,3,1,364,268,108,35,
%T 11,3,1,1029,790,327,112,35,11,3,1,2930,2308,992,344,113,35,11,3,1,
%U 8344,6737,2962,1055,348,113,35,11,3,1
%N Triangle read by rows: number of topologically distinct sets of N circles with one pair touching, classified according to number of factors.
%H R. J. Mathar, <a href="http://arxiv.org/abs/1603.00077">Topologically Distinct Sets of Non-intersecting Circles in the Plane</a>, arXiv:1603.00077 [math.CO], 2016.
%e Triangle begins:
%e 1,
%e 2,1,
%e 6,3,1,
%e 16,10,3,1,
%e 46,30,11,3,1,
%e 128,91,34,11,3,1,
%e 364,268,108,35,11,3,1,
%e 1029,790,327,112,35,11,3,1,
%e ...
%Y Row sums give A269800.
%K nonn,tabl
%O 2,2
%A _N. J. A. Sloane_, Jan 20 2017
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