A198702 - OEIS

%I #5 Mar 31 2012 12:36:34

%S 1,3,14,76,488,3508,27422,227045,1950662,17146596,152812056,

%T 1373072354,12397256874,112250461201,1018054465392,9242194131044,

%U 83950882529364,762814946316712,6932614771099750,63012101072493525,572768961745981914

%N Number of nX2 0..4 arrays with values 0..4 introduced in row major order and each element equal to at least one horizontal or vertical neighbor

%C Column 2 of A198708

%H R. H. Hardin, <a href="/A198702/b198702.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 17*a(n-1) -80*a(n-2) +37*a(n-3) +349*a(n-4) -60*a(n-5) -729*a(n-6) -553*a(n-7) +572*a(n-8) +783*a(n-9) +139*a(n-10) -304*a(n-11) -170*a(n-12)

%e All solutions with all values 0 to 4 for n=5

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

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

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

%e ..3..3....3..3....3..3....3..4....2..3....2..3....3..4....3..4

%e ..4..4....4..4....4..4....3..4....4..4....4..4....3..4....3..4

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 29 2011