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Catacondensed simply-connected monopentapolyhexes.
1

%I #10 Jun 27 2019 06:13:17

%S 0,0,1,7,30,132,559,2416,10483,46072,204155,912779,4110644,18636572,

%T 84985825,389586145,1794268460,8298524480,38527095859,179487051589,

%U 838820171722,3931498431052,18475618863389,87036535974062,410947146076475

%N Catacondensed simply-connected monopentapolyhexes.

%H S. J. Cyvin, B. N. Cyvin, J. Brunvoll, Zhang Fuji, Guo Xiaofeng, R. Tosic, <a href="https://core.ac.uk/download/pdf/41371743.pdf">Graph-theoretical studies on fluoranthenoids and fluorenoids: enumeration of some catacondensed systems</a>, J. Molec. Struct. (Theochem), 285 (1993), 179-185.

%F a(n) = (1/2) * (A002212(n) - 2*A002212(n - 1) - A055879(n)). - _Sean A. Irvine_, Jun 26 2019

%F G.f.: (6*x^3 - 12*x^2 + 6*x + (2*x^2-3*x+1) * sqrt(1-x) * sqrt(1-5*x) - sqrt(1-x^2) * sqrt(1-5*x^2)) / (4*x*(x-1)). - _Sean A. Irvine_, Jun 26 2019

%Y Cf. A007317, A046697.

%K nonn

%O 1,4

%A _N. J. A. Sloane_, May 03 2000

%E More terms from _Sean A. Irvine_, Jun 26 2019