A252899 Number of (n+2)X(1+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and new values 0 upwards introduced in row major order

384, 2793, 19320, 139968, 997740, 7214139, 51847038, 374336607, 2696923686, 19459081686, 140297901972, 1012028831673, 7298315687514, 52640843328243, 379651206972726, 2738231536548126, 19748883398358408, 142436977913933235

Offset

1,1

Comments

Column 1 of A252904

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 11*a(n-1) -7*a(n-2) -209*a(n-3) +345*a(n-4) +556*a(n-5) +2595*a(n-6) -5153*a(n-7) -22977*a(n-8) +2730*a(n-9) +70674*a(n-10) +123435*a(n-11) -145260*a(n-12) -314385*a(n-13) +142857*a(n-14) +214776*a(n-15) -26298*a(n-16) -31806*a(n-17) +2187*a(n-18)

Example

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

Crossrefs

Sequence in context: A256728 A236029 A252904 * A183686 A134241 A203980

Adjacent sequences: A252896 A252897 A252898 * A252900 A252901 A252902

Keyword

nonn

Author

R. H. Hardin, Dec 24 2014

Status

approved