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.

A052171 Number of directed multigraphs with loops on an infinite set of nodes containing a total of n arcs.

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%I A052171 #35 Mar 04 2024 15:18:27
%S A052171 1,2,11,52,296,1724,11060,74527,533046,3999187,31412182,257150093,
%T A052171 2188063401,19299062896,176059781439,1657961491087,16089088019098,
%U A052171 160643776819423,1648068916722737,17351137043998280,187255329043638437,2069426416836401375,23397468305569068113,270406562951254606048,3191908298072118225550,38454691427657997701136
%N A052171 Number of directed multigraphs with loops on an infinite set of nodes containing a total of n arcs.
%C A052171 Row sums of A136564, limiting values of A138107. - _Benoit Jubin_, May 13 2008
%C A052171 Euler transform of A137975. - _M. F. Hasler_, Jul 31 2017
%H A052171 Andrew Howroyd, <a href="/A052171/b052171.txt">Table of n, a(n) for n = 0..50</a>
%H A052171 Banglei Guan, Ji Zhao, and Laurent Kneip, <a href="https://arxiv.org/abs/2402.18066">Six-Point Method for Multi-Camera Systems with Reduced Solution Space</a>, arXiv:2402.18066 [cs.CV], 2024. See p. 10.
%H A052171 J.-C. Novelli, J.-Y. Thibon and N. M. Thiery, <a href="http://nicolas.thiery.name/Preprints/NovelliThibonThiery.2004/NovelliThibonThiery.2004.pdf">Algèbres de Hopf de graphes</a>, C.R. Acad. Sci. Paris (Comptes Rendus Mathématique), 339 (2004), 607-610.
%H A052171 Sanjaye Ramgoolam, <a href="https://arxiv.org/abs/1809.07559">Permutation Invariant Gaussian Matrix Models</a>, arXiv:1809.07559 [hep-th], 2018.
%F A052171 a(n) = A138107(2*n,n). - _Max Alekseyev_, Oct 17 2017
%Y A052171 Cf. A050535, A007717, A005993, A050927, A050929.
%Y A052171 Cf. A104209. Cf. A137975 (connected).
%K A052171 nonn
%O A052171 0,2
%A A052171 _Vladeta Jovovic_, Jan 26 2000
%E A052171 a(16)-a(25) from _Max Alekseyev_, Jun 21 2011