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.

A137774 Number of ways to place n nonattacking empresses on an n X n board.

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%I A137774 #47 Aug 16 2021 14:48:30
%S A137774 1,2,2,8,20,94,438,2766,19480,163058,1546726,16598282,197708058,
%T A137774 2586423174,36769177348,563504645310,9248221393974,161670971937362,
%U A137774 2996936692836754,58689061747521430,1210222434323163704,26204614054454840842,594313769819021397534,14086979362268860896282
%N A137774 Number of ways to place n nonattacking empresses on an n X n board.
%C A137774 An empress moves like a rook and a knight.
%H A137774 Eli Bagno, Estrella Eisenberg, Shulamit Reches, and Moriah Sigron, <a href="https://arxiv.org/abs/1905.12364">Separators - a new statistic for permutations</a>, arXiv:1905.12364 [math.CO], 2019.
%H A137774 Eli Bagno, Estrella Eisenberg, Shulamit Reches, and Moriah Sigron, <a href="http://ecajournal.haifa.ac.il/Volume2021/ECA2021_S2A21.pdf">On the Sparseness of the Downsets of Permutations via Their Number of Separators</a>, Enumerative Combinatorics and Applications (2021) Vol. 1, No. 3, Article #S2R21.
%H A137774 Vaclav Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p.685 and 636.
%H A137774 W. Schubert, <a href="http://web.archive.org/web/20130708134012/http://m29s20.vlinux.de/~wschub/nqueen.html">N-Queens page</a>
%F A137774 Asymptotics (Vaclav Kotesovec, Jan 26 2011): a(n)/n! -> 1/e^4.
%F A137774 General asymptotic formulas for number of ways to place n nonattacking pieces rook + leaper[r,s] on an n X n board:
%F A137774 a(n)/n! -> 1/e^2 for 0<r=s
%F A137774 a(n)/n! -> 1/e^4 for 0<r<s
%Y A137774 Cf. A201513, A000170, A002465, A201540.
%Y A137774 Cf. A185085, A051223, A244284, A201511, A201861, A137774, A245011.
%Y A137774 Cf. A218244, A002464, A110128, A117574, A089222, A002493.
%K A137774 nonn,nice,hard
%O A137774 1,2
%A A137774 _Vaclav Kotesovec_, Jan 27 2011
%E A137774 Terms a(16)-a(17) from _Vaclav Kotesovec_, Feb 06 2011
%E A137774 Terms a(18)-a(19) from Wolfram Schubert, Jul 24 2011
%E A137774 Terms a(20)-a(24) (computed by Wolfram Schubert), _Vaclav Kotesovec_, Aug 25 2012