A205068 Number of (n+1)X5 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors

238, 146, 220, 376, 528, 784, 1192, 1792, 2744, 4140, 6288, 9468, 14376, 21666, 32912, 49640, 75328, 113718, 172408, 260440, 394624, 596448, 903184, 1365912, 2067168, 3127772, 4731240, 7161736, 10828680, 16397424, 24784304, 37541428, 56725480

Offset

1,1

Comments

Column 4 of A205072

Links

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

Formula

Empirical: a(n) = 3*a(n-2) -2*a(n-6) -3*a(n-8) -2*a(n-10) -3*a(n-12) +2*a(n-14) +5*a(n-16) +6*a(n-18) +6*a(n-20) +3*a(n-22) +a(n-24) for n>27

Example

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

Crossrefs

Sequence in context: A256805 A192283 A069420 * A229077 A129124 A124169

Adjacent sequences: A205065 A205066 A205067 * A205069 A205070 A205071

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved