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%I #7 Apr 19 2020 23:45:45
%S 0,4,46,2136,109058,14382480,3258530608,1582785864320,
%T 1554970236400402,3055129067325800608,12891237725516640144940,
%U 106775629834644247372248448,1932363567303596958505554161216,68821810412730939070416537380998580
%N Number of n X n binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
%C Diagonal of A269011.
%H R. H. Hardin, <a href="/A269005/b269005.txt">Table of n, a(n) for n = 1..23</a>
%e Some solutions for n=4
%e ..0..0..0..0. .1..0..0..0. .1..0..0..1. .0..0..1..0. .1..0..0..0
%e ..1..0..1..0. .0..0..0..1. .1..0..0..0. .1..0..1..0. .0..0..0..0
%e ..0..0..0..0. .1..1..0..0. .1..0..0..1. .0..0..0..0. .1..0..0..0
%e ..1..0..1..1. .0..0..0..1. .0..0..1..0. .0..1..1..0. .0..0..1..1
%Y Cf. A269011.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 17 2016