cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A122742 Numbers of polypentagons with two connected internal vertices (see Cyvin et al. for precise definition).

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%I A122742 #11 Jul 26 2019 09:40:08
%S A122742 0,0,1,3,6,16,34,80,172,384,824,1792,3824,8192,17376,36864,77760,
%T A122742 163840,343936,720896,1507072,3145728,6553088,13631488,28310528,
%U A122742 58720256,121632768,251658240,520089600,1073741824,2214584320,4563402752,9395224576,19327352832,39728414720,81604378624
%N A122742 Numbers of polypentagons with two connected internal vertices (see Cyvin et al. for precise definition).
%H A122742 S. J. Cyvin et al., <a href="https://doi.org/10.1021/ci00013a027">Theory of polypentagons</a>, J. Chem. Inf. Comput. Sci., 33 (1993), 466-474
%H A122742 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-8,8).
%F A122742 G.f.: x^6*(x-1)*(2*x^3-4*x^2+1) / ((2*x-1)^2*(2*x^2-1)). - _Colin Barker_, Aug 29 2013
%F A122742 a(n) = A001787(n+1)/256 - 2^(n-7) - A077957(n)/16, n>6. - _R. J. Mathar_, Jul 26 2019
%K A122742 nonn,easy
%O A122742 4,4
%A A122742 _N. J. A. Sloane_, Sep 24 2006