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A198016 Number of isomorphism classes of nanocones with 4 pentagons and a nearsymmetric boundary of length n 7

%I #20 Jan 29 2023 04:47:01

%S 2,9,32,89,204,420,786,1376,2272,3589,5450,8021,11474,16032,21928,

%T 29452,38902,50645,65056,82585,103692,128920,158822,194044,235240,

%U 283165,338586,402377,475422,558724,653296,760276,880814,1016193,1167708,1336797,1524908

%N Number of isomorphism classes of nanocones with 4 pentagons and a nearsymmetric boundary of length n

%H Nico Van Cleemput, <a href="/A198016/b198016.txt">Table of n, a(n) for n = 2..75</a>

%H Gunnar Brinkmann and Nico Van Cleemput, <a href="https://doi.org/10.1016/j.dam.2011.06.014">Classification and generation of nanocones</a>, Discrete Applied Mathematics, 159 (2011), 1528-1539.

%F Conjectured g.f.: x^2*(-2*x^8 + 5*x^7 + x^6 + 13*x^5 + 8*x^4 + 13*x^3 + 9*x^2 + 3*x + 2)/(x^12 - 3*x^11 + 2*x^10 + x^9 - x^8 + 2*x^7 - 4*x^6 + 2*x^5 - x^4 + x^3 + 2*x^2 - 3*x + 1). [_D. S. McNeil_, Oct 20 2011]

%K nonn

%O 2,1

%A _Nico Van Cleemput_, Oct 20 2011

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)