A253699 Number of (2+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

40, 76, 150, 282, 540, 1026, 1984, 3782, 7270, 13880, 26644, 51026, 97726, 187364, 358554, 687792, 1316136, 2524044, 4831726, 9262042, 17738282, 33988728, 65116062, 124738388, 239016216, 457824900, 877280898, 1680426234, 3219854846

Offset

1,1

Comments

Row 2 of A253698

Links

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

Formula

Empirical: a(n) = 4*a(n-2) -2*a(n-4) +5*a(n-5) -7*a(n-6) -3*a(n-7) +9*a(n-8) -5*a(n-9) +a(n-10) +5*a(n-11) -6*a(n-12) -2*a(n-13) +4*a(n-14) -a(n-16)

Example

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

Crossrefs

Sequence in context: A044106 A044487 A253692 * A037975 A317095 A039468

Adjacent sequences: A253696 A253697 A253698 * A253700 A253701 A253702

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved