A269292 - OEIS

%I #4 Feb 21 2016 09:29:40

%S 256,29160,1698732,87559668,4204943820,193446959076,8642330207532,

%T 377958654569412,16263720330382476,690974658284107428,

%U 29056221832723692012,1211537520551702429316,50159175757694154381132

%N Number of 4Xn 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once.

%C Row 4 of A269289.

%H R. H. Hardin, <a href="/A269292/b269292.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 96*a(n-1) -3108*a(n-2) +40720*a(n-3) -265326*a(n-4) +931200*a(n-5) -1766452*a(n-6) +1678992*a(n-7) -622521*a(n-8) for n>12

%e Some solutions for n=2

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

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

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

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

%Y Cf. A269289.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 21 2016