A233102 - OEIS

%I #8 Jun 08 2014 09:11:54

%S 136,3602,200165,10221326,537122150,28141137872,1476681563849,

%T 77482025109839,4065919672314356,213362364192842336,

%U 11196441271433252555,587546864324043637757,30832253532758823307616,1617961057337229232958984

%N Number of 5 X n 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order.

%C Row 5 of A233098.

%H R. H. Hardin, <a href="/A233102/b233102.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 68*a(n-1) -600*a(n-2) -15127*a(n-3) +198891*a(n-4) +474114*a(n-5) -15054666*a(n-6) +40876796*a(n-7) +282247277*a(n-8) -1702957346*a(n-9) +1300734258*a(n-10) +10660506741*a(n-11) -25827798163*a(n-12) -5523934284*a(n-13) +82235055992*a(n-14) -73298596738*a(n-15) -60422455252*a(n-16) +120987324040*a(n-17) -24800038680*a(n-18) -50712556504*a(n-19) +26785354528*a(n-20) +4082561568*a(n-21) -4463628544*a(n-22) +203254656*a(n-23) +207891200*a(n-24) -17481216*a(n-25) -2073600*a(n-26) +110592*a(n-27) for n>28.

%e Some solutions for n=3:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 04 2013