A237230 Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

2784, 10888, 29456, 83436, 233536, 671080, 1919288, 5542856, 15833748, 45309424, 129364012, 371396844, 1063000280, 3048786056, 8719902452, 24994666460, 71536549320, 205067864500, 587032939664, 1682282732208, 4816175986888

Offset

1,1

Comments

Column 4 of A237234

Links

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

Formula

Empirical: a(n) = 4*a(n-2) +3*a(n-3) +24*a(n-4) +21*a(n-5) +28*a(n-6) -64*a(n-7) -199*a(n-8) -396*a(n-9) -578*a(n-10) -30*a(n-11) -136*a(n-12) -192*a(n-13) for n>16

Example

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

Crossrefs

Sequence in context: A188415 A236125 A251844 * A206516 A119377 A014895

Adjacent sequences: A237227 A237228 A237229 * A237231 A237232 A237233

Keyword

nonn

Author

R. H. Hardin, Feb 05 2014

Status

approved