%I #29 Jan 17 2022 03:16:19

%S 0,0,0,2,0,4,0,12,8,12,64,760,2080,11524,77672,454376,2972720,

%T 19274208,160500016,1150812148,9797154696,79646705916,771589104392

%N Number of arrangements of n nonattacking Queens on an n X n board, with no Queens on both main diagonals.

%H V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Non-attacking chess pieces</a>, 6ed, 2013, p.447

%H Vaclav Kotesovec, <a href="/A225740/a225740.jpg">example</a>, board 8x8, no queens on line a1-h8 and no queens on line a8-h1

%e From _Martin Ehrenstein_, Jan 10 2022: (Start)

%e Solutions for n=9 filtered from the Coserea link in A000170:

%e 3 5 8 2 9 7 1 4 6

%e 3 6 9 2 8 1 4 7 5

%e 4 6 9 3 1 8 2 5 7

%e 5 3 6 9 2 8 1 4 7

%e 5 7 4 1 8 2 9 6 3

%e 6 4 1 7 9 2 8 5 3

%e 7 4 1 8 2 9 6 3 5

%e 7 5 2 8 1 3 9 6 4

%e (End)

%Y Cf. A000170, A003471.

%K nonn,more,hard

%O 1,4

%A _Vaclav Kotesovec_, Aug 04 2013

%E a(9)-a(19) corrected and extended with a(20)-a(23) by _Martin Ehrenstein_, Jan 10 2022

%E a(9)-a(19) confirmed by _Vaclav Kotesovec_, Jan 11 2022