A232945 - OEIS

%I #4 Dec 02 2013 18:30:20

%S 81,3363,161621,7915555,389997789,19245039957,950054488141,

%T 46905123394619,2315805078150557,114336803085406731,

%U 5645086862993222953,278711788919053258129,13760685779790427073277,679398875935060965853215

%N Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically or antidiagonally, and top left element zero

%C Column 5 of A232948

%H R. H. Hardin, <a href="/A232945/b232945.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 67*a(n-1) -957*a(n-2) +4487*a(n-3) -10440*a(n-4) +9842*a(n-5) +34671*a(n-6) -145789*a(n-7) +111684*a(n-8) +296032*a(n-9) -481473*a(n-10) -167907*a(n-11) +608240*a(n-12) -12730*a(n-13) -416027*a(n-14) +59065*a(n-15) +178117*a(n-16) -40627*a(n-17) -41054*a(n-18) +13432*a(n-19) +2184*a(n-20) -816*a(n-21) for n>23

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013