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%I #10 Jul 30 2019 08:18:14
%S 0,0,0,1,2,8,14,43,72,204,336,926,1516,4144,6772,18504,30236,82844,
%T 135452,372581,609710,1684220,2758730,7652531,12546332,34941752,
%U 57337172,160280987,263224802,738363872,1213502942,3414804517
%N Related to enumeration of edge-rooted catafusenes.
%C Let b(n>=0) = 0, 0, 0, 0, 1, 0, 6, 0, 29, 0, 132, 0, 590, 0, 2628, ... be the
%C "aerated" version of A045445. This sequence is the convolution of A040000 and b. - _R. J. Mathar_, Jul 30 2019
%H S. J. Cyvin et al., <a href="https://doi.org/10.1021/ci00009a021">Enumeration and classification of benzenoid systems. 32. Normal perifusenes with two internal vertices</a>, J. Chem. Inform. Comput. Sci., 32 (1992), 532-540.
%F G.f.: (1+x)[1-6x^2+7x^4-(1-3x^2)sqrt(1-6x^2+5x^4)]/[2x^4(1-x)] (eq. (11) in Cyvin et al.)
%K nonn
%O 1,5
%A _N. J. A. Sloane_.
%E More terms from _Emeric Deutsch_, Mar 14 2004