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A189567 Number of permutations p of 1,2,...,n satisfying |p(i+2)-p(i)|<>5 and |p(j+5)-p(j)|<>2 for all i=1..n-2, j=1..n-5. 4

%I #9 Mar 19 2017 16:22:35

%S 1,1,2,6,24,120,392,1810,10400,72228,589674,5196870,52398658,

%T 588036216,7274466172,98024173852,1427556373892

%N Number of permutations p of 1,2,...,n satisfying |p(i+2)-p(i)|<>5 and |p(j+5)-p(j)|<>2 for all i=1..n-2, j=1..n-5.

%C a(n) is also the number of ways to place n nonattacking pieces rook + leaper[2,5] on an n X n chessboard.

%H 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 Asymptotic: a(n)/n! ~ 1/e^4.

%Y Cf. A137774, A189358, A189563, A189564, A189565, A189566.

%K nonn,more,hard

%O 0,3

%A _Vaclav Kotesovec_, Apr 23 2011

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Last modified July 10 02:13 EDT 2024. Contains 374191 sequences. (Running on oeis4.)