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.

A189565 Number of permutations p of 1,2,...,n satisfying |p(i+2)-p(i)|<>3 and |p(j+3)-p(j)|<>2 for all i=1..n-2, j=1..n-3.

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%I A189565 #9 Mar 19 2017 16:19:37
%S A189565 1,1,2,6,12,36,174,708,4334,31424,263732,2503296,26844578,316692056,
%T A189565 4090634212,57274447458,863488976620
%N A189565 Number of permutations p of 1,2,...,n satisfying |p(i+2)-p(i)|<>3 and |p(j+3)-p(j)|<>2 for all i=1..n-2, j=1..n-3.
%C A189565 a(n) is also the number of ways to place n nonattacking pieces rook + leaper[2,3] on an n X n chessboard (in fairy chess the leaper [2,3] is called a zebra).
%H A189565 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Number of ways of placing non-attacking queens, kings, bishops and knights</a> (in English and Czech)
%F A189565 Asymptotic: a(n)/n! ~ 1/e^4.
%Y A189565 Cf. A137774, A189358, A189563, A189564.
%K A189565 nonn,more,hard
%O A189565 0,3
%A A189565 _Vaclav Kotesovec_, Apr 23 2011