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.
%I A006418 M5268 #22 Jul 19 2024 08:43:18
%S A006418 1,38,469,3008,12843,42602,119042,293578,658021,1367170,2670203,
%T A006418 4953136,8794967,15040494,24893192,40031954,62755945,96162286,
%U A006418 144361777,212738384,308258755,439838594,618773310,859240970,1178886221,1599494506,2147766583,2856204064
%N A006418 Number of loopless rooted planar maps with 5 faces and n vertices and no isthmuses.
%D A006418 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A006418 Andrew Howroyd, <a href="/A006418/b006418.txt">Table of n, a(n) for n = 2..1000</a>
%H A006418 T. R. S. Walsh, A. B. Lehman, <a href="http://dx.doi.org/10.1016/0095-8956(75)90050-7">Counting rooted maps by genus. III: Nonseparable maps</a>, J. Combinatorial Theory Ser. B 18 (1975), 222-259.
%H A006418 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).
%F A006418 G.f.: x^2 * (14*x^9 -120*x^8 +440*x^7 -879*x^6 +980*x^5 -482*x^4 -92*x^3 +134*x^2 +28*x+1) / (x-1)^10. - _Colin Barker_, Apr 09 2013
%o A006418 (PARI) a(n)={if(n<2, 0, (2*n^9 + 81*n^8 + 918*n^7 + 2142*n^6 - 11886*n^5 - 42651*n^4 + 65182*n^3 + 282348*n^2 - 114696*n - 604800)/30240)} \\ _Andrew Howroyd_, Apr 01 2021
%Y A006418 Column k=5 of A342980.
%K A006418 nonn
%O A006418 2,2
%A A006418 _N. J. A. Sloane_
%E A006418 Name clarified and terms a(13) and beyond from _Andrew Howroyd_, Apr 01 2021