A232338 - OEIS

%I #4 Nov 22 2013 11:51:27

%S 1,42,308,734,4906,13170,82526,239992,1398710,4333362,23808020,

%T 77703762,406751730,1385692672,6971295054,24603895150,119805137680,

%U 435349233940,2063663956954,7681867046626,35616414149972,135245995065394

%N Number of 4Xn 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal

%C Row 4 of A232335

%H R. H. Hardin, <a href="/A232338/b232338.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +15*a(n-2) -7*a(n-3) +8*a(n-4) -40*a(n-5) +8*a(n-6) -14*a(n-7) +38*a(n-8) +12*a(n-9) +3*a(n-10) -11*a(n-11) -27*a(n-12) +7*a(n-13) -6*a(n-14) +20*a(n-15) -5*a(n-16) +5*a(n-17) -7*a(n-18) +a(n-19) -a(n-20) +a(n-21) for n>24

%e Some solutions for n=7

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 22 2013