A253695 Number of (n+1)X(5+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

680, 540, 618, 992, 1632, 2386, 4180, 6552, 10696, 18236, 28352, 47594, 80548, 128248, 216740, 356714, 584026, 981652, 1609356, 2663806, 4459244, 7313942, 12171062, 20237510, 33418882, 55628622, 92193244, 152691570, 254244632

Offset

1,1

Comments

Column 5 of A253698

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +2*a(n-3) +4*a(n-4) +2*a(n-5) -7*a(n-6) -17*a(n-7) -7*a(n-8) -8*a(n-9) -10*a(n-10) +38*a(n-11) +42*a(n-12) +3*a(n-13) +28*a(n-14) +a(n-15) -60*a(n-16) -17*a(n-17) -16*a(n-18) -40*a(n-19) +14*a(n-20) +20*a(n-21) -a(n-22) +16*a(n-23) +8*a(n-24) +4*a(n-26) for n>31

Example

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

Crossrefs

Sequence in context: A200828 A097772 A257828 * A253702 A235013 A154036

Adjacent sequences: A253692 A253693 A253694 * A253696 A253697 A253698

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved