A238511 - OEIS

%I #4 Feb 27 2014 20:36:44

%S 25,401,14407,430504,13398587,413256106,12771744135,394537124897,

%T 12189010788413,376564621157074,11633561391153531,359406052601243460,

%U 11103456404402492173,343029107715954897545,10597508186010294218619

%N Number of (n+1)X(2+1) 0..3 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..3 introduced in row major order

%C Column 2 of A238515

%H R. H. Hardin, <a href="/A238511/b238511.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) +277*a(n-2) +42*a(n-3) -3413*a(n-4) -576*a(n-5) +1877*a(n-6) +38722*a(n-7) -43921*a(n-8) -27402*a(n-9) +38409*a(n-10) -4968*a(n-11) -9432*a(n-12) +8640*a(n-13) +3456*a(n-14)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2014