A045908 - OEIS

%I #14 Mar 27 2021 00:51:04

%S 0,1,3,13,49,203,833,3533,15133,65891,289865,1288491,5774847,26076165,

%T 118501583,541605705,2487893725,11480052755,53188676889,247337349095,

%U 1154007818323,5400694067345,25345508567027,119251934995963,562414480094339,2658260322324013

%N Number of catafusenes with C_{2v}(b) symmetry (see reference for precise definition).

%C Column C_{2v}(b) in Table 6 and Eq. (53) in Cyvin. - _Sean A. Irvine_, Mar 26 2021

%H S. J. Cyvin, B. N. Cyvin, J. Brunvoll and E. Brendsdal, <a href="https://doi.org/10.1021/ci00021a026">Enumeration and Classification of Certain Polygonal Systems Representing Polycyclic Conjugated Hydrocarbons: Annelated Catafusenes</a>, Journal of Chemical Information and Modeling [formerly, J. Chem. Inform. Comput. Sci.], 34 (1994), pp. 1174-1180

%F a(n) = (1/2) * (b(n+1) - b(n) - b(n/2)) where b(n)=A002212(n) is understood to be 0 for noninteger arguments. - _Sean A. Irvine_, Mar 26 2021

%Y Cf. A002212.

%K nonn

%O 0,3

%A _N. J. A. Sloane_

%E More terms from _Sean A. Irvine_, Mar 26 2021