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 A006409 M4742 #18 Apr 05 2021 21:36:45 %S A006409 10,190,1568,8344,33580,111100,317680,811096,1891318,4094090,8328320, %T A006409 16071120,29636984,52540472,89974880,149432720,241497410,380839382, %U A006409 587453856,888181800,1318560100,1925051700,2767711440,3923348520,5489251950,7587551010,10370288640 %N A006409 Number of nonseparable rooted toroidal maps with n + 4 edges and n + 1 vertices. %C A006409 The number of faces is 3. - _Andrew Howroyd_, Apr 05 2021 %D A006409 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A006409 Andrew Howroyd, <a href="/A006409/b006409.txt">Table of n, a(n) for n = 2..1000</a> %H A006409 T. R. S. Walsh and 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. %F A006409 a(n) = 10 * binomial(n + 4, 6) + 120 * binomial(n + 4, 7) + 328 * binomial(n + 4, 8) + 232 * binomial(n + 4, 9) [From Walsh]. - _Sean A. Irvine_, Apr 03 2017 %F A006409 a(n) = binomial(n + 4, 6)*(29*n^3 + 108*n^2 - 11*n - 12)/63. - _Andrew Howroyd_, Apr 05 2021 %o A006409 (PARI) a(n) = {binomial(n + 4, 6)*(29*n^3 + 108*n^2 - 11*n - 12)/63} \\ _Andrew Howroyd_, Apr 05 2021 %Y A006409 Column 3 of A342989. %K A006409 nonn %O A006409 2,1 %A A006409 _N. J. A. Sloane_ %E A006409 Terms a(10) and beyond from _Andrew Howroyd_, Apr 05 2021