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%I #6 Jan 16 2024 09:42:03
%S 756,68052,5877228,463790340,34838403756,2532677348772,
%T 179867149105740,12551707872624132,864008559706781292,
%U 58827234014669683044,3969574872302454754188,265864675607662372035012
%N Number of n X 5 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three no more than once.
%C Column 5 of A269201.
%H R. H. Hardin, <a href="/A269198/b269198.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 156*a(n-1) -8170*a(n-2) +166732*a(n-3) -1381249*a(n-4) +2520764*a(n-5) +23584856*a(n-6) -130579860*a(n-7) +143100280*a(n-8) +633365472*a(n-9) -2425054036*a(n-10) +3486590032*a(n-11) -2082954096*a(n-12) -207585696*a(n-13) +891171072*a(n-14) -335167488*a(n-15) -34112320*a(n-16) +43766784*a(n-17) -8385024*a(n-18) +497664*a(n-19) -9216*a(n-20) for n>21.
%e Some solutions for n=2
%e ..1..0..1..1..1. .0..1..0..2..2. .0..1..1..1..2. .2..0..1..1..0
%e ..0..0..1..0..0. .3..1..1..0..0. .0..0..0..0..1. .2..3..3..1..0
%Y Cf. A269201.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 20 2016
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