A253701 Number of (4+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

264, 304, 480, 700, 992, 1262, 1790, 2538, 4020, 5990, 8836, 12394, 17968, 26012, 38598, 56584, 83518, 120602, 175720, 255184, 375296, 547746, 802690, 1169748, 1708828, 2488792, 3641134, 5318124, 7778660, 11346426, 16583046, 24197884

Offset

1,1

Comments

Row 4 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-4) +a(n-5) -3*a(n-6) +2*a(n-7) +a(n-8) -9*a(n-9) +2*a(n-10) +4*a(n-11) -3*a(n-12) +7*a(n-13) -5*a(n-15) -a(n-17) +a(n-18) +a(n-19) for n>26

Example

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

Crossrefs

Sequence in context: A345586 A345844 A253694 * A255804 A351802 A050240

Adjacent sequences: A253698 A253699 A253700 * A253702 A253703 A253704

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved