A196451 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,4,1 for x=0,1,2,3,4

4, 14, 40, 131, 383, 1232, 3966, 12314, 38745, 122989, 386667, 1216157, 3839910, 12101854, 38109643, 120144068, 378709117, 1193259020, 3760674157, 11852918903, 37353389828, 117718989595, 371005905259, 1169236902187, 3684870558556

Offset

1,1

Comments

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

Column 3 of A196456

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-3) -28*a(n-4) +13*a(n-5) -a(n-6) -8*a(n-7) +6*a(n-8) +12*a(n-9) -46*a(n-10) +27*a(n-11) -28*a(n-12) +83*a(n-13) -5*a(n-14) +25*a(n-15) -23*a(n-16) -4*a(n-18)

Example

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

Crossrefs

Sequence in context: A202900 A238117 A032285 * A196480 A326008 A196713

Adjacent sequences: A196448 A196449 A196450 * A196452 A196453 A196454

Keyword

nonn

Author

R. H. Hardin Oct 02 2011

Status

approved