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Number of n X n 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.
0

%I #6 Apr 20 2020 19:52:43

%S 0,96,18048,12548544,30541426560,292321215814512,11273191243423937904,

%T 1787171501783334054571344,1177416215650225851496983234096,

%U 3247635013385894059877839733594599296

%N Number of n X n 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.

%C Diagonal of A269214.

%e Some solutions for n=3

%e ..0..2..3. .3..0..0. .1..3..2. .2..0..0. .0..0..0. .1..2..2. .1..3..1

%e ..0..2..2. .1..1..1. .2..2..2. .1..0..1. .0..1..3. .3..3..2. .1..3..3

%e ..3..1..0. .3..3..1. .2..3..3. .0..3..2. .3..1..1. .2..3..2. .1..1..0

%Y Cf. A269214.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 20 2016