A253704 Number of (7+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

4456, 2416, 2982, 3136, 4180, 5030, 6558, 8846, 12620, 17170, 22264, 27490, 36614, 48914, 70968, 96312, 131294, 168514, 223910, 300006, 420174, 580192, 795556, 1051418, 1403720, 1862978, 2573560, 3507284, 4848850, 6469278, 8721932

Offset

1,1

Comments

Row 7 of A253698

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +a(n-5) -a(n-6) +2*a(n-7) +a(n-8) -8*a(n-9) -a(n-10) +2*a(n-11) +5*a(n-13) -11*a(n-15) +6*a(n-17) +6*a(n-19) -8*a(n-21) +a(n-23) +4*a(n-25) for n>37

Example

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

Crossrefs

Sequence in context: A184611 A279042 A253697 * A235015 A185767 A089202

Adjacent sequences: A253701 A253702 A253703 * A253705 A253706 A253707

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved