A198008 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,1,2 for x=0,1,2,3,4

2, 12, 51, 182, 753, 3061, 12503, 51668, 213279, 880209, 3634766, 15007471, 61961064, 255823889, 1056237984, 4360961496, 18005397659, 74340087665, 306933036933, 1267255479837, 5232203898902, 21602557380388, 89191955117072

Offset

1,1

Comments

Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 2's

Column 3 of A198013

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +23*a(n-3) +13*a(n-4) -9*a(n-5) -109*a(n-6) -98*a(n-7) +122*a(n-8) +332*a(n-9) +155*a(n-10) -557*a(n-11) -826*a(n-12) -13*a(n-13) +838*a(n-14) +800*a(n-15) +163*a(n-16) -309*a(n-17) -307*a(n-18) -142*a(n-19) -51*a(n-20) -45*a(n-21) +32*a(n-22) +12*a(n-23) -4*a(n-24)

Example

Some solutions for n=4
..1..3..1....0..0..0....0..0..2....1..3..1....0..1..0....2..0..0....0..1..0
..0..1..0....0..0..1....0..1..0....1..1..0....2..3..1....0..2..1....1..3..1
..0..1..0....0..1..3....1..3..2....3..1..2....0..1..0....0..1..3....0..2..0
..1..3..1....2..0..1....0..1..0....1..0..0....0..0..0....2..0..1....0..2..0

Crossrefs

Sequence in context: A012427 A012695 A012382 * A359523 A323851 A054667

Adjacent sequences: A198005 A198006 A198007 * A198009 A198010 A198011

Keyword

nonn

Author

R. H. Hardin Oct 20 2011

Status

approved