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A269190 Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.

%I A269190 #4 Feb 20 2016 09:42:59
%S A269190 216,4476,115452,2817548,67134380,1567933676,36068275268,819789099172,
%T A269190 18452018423420,411983259384452,9136178140885388,201433537180523700,
%U A269190 4419013543755451812,96521322466937887324,2100165198065619059932
%N A269190 Number of nX4 0..3 arrays with some element plus some horizontally, diagonally, antidiagonally or vertically adjacent neighbor totalling three no more than once.
%C A269190 Column 4 of A269194.
%H A269190 R. H. Hardin, <a href="/A269190/b269190.txt">Table of n, a(n) for n = 1..210</a>
%F A269190 Empirical: a(n) = 46*a(n-1) -607*a(n-2) +1264*a(n-3) +11029*a(n-4) -27640*a(n-5) -86627*a(n-6) +153412*a(n-7) +308464*a(n-8) -329306*a(n-9) -438615*a(n-10) +260680*a(n-11) +134834*a(n-12) -65824*a(n-13) -9889*a(n-14) +5080*a(n-15) -400*a(n-16) for n>17
%e A269190 Some solutions for n=3
%e A269190 ..0..0..3..1. .3..3..3..3. .3..3..1..3. .0..0..0..0. .0..1..0..2
%e A269190 ..1..1..1..1. .3..1..3..1. .1..3..1..0. .1..0..0..0. .2..0..0..2
%e A269190 ..1..0..1..0. .1..3..1..3. .1..3..1..1. .2..0..1..1. .2..2..2..0
%Y A269190 Cf. A269194.
%K A269190 nonn
%O A269190 1,1
%A A269190 _R. H. Hardin_, Feb 20 2016