A253733 Number of (n+2)X(1+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically

218, 720, 2212, 6932, 22236, 70372, 222820, 706884, 2242532, 7110804, 22555544, 71517456, 226861460, 719514384, 2281956628, 7237186788, 22954908172, 72802487404, 230901873532, 732329249252, 2322695885712, 7366657349992

Offset

1,1

Comments

Column 1 of A253740

Links

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

Formula

Empirical: a(n) = a(n-2) +15*a(n-3) +44*a(n-4) +26*a(n-5) +36*a(n-6) -241*a(n-7) -190*a(n-8) -589*a(n-9) -530*a(n-10) -920*a(n-11) -1248*a(n-12) -800*a(n-13) -384*a(n-14) for n>15

Example

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

Crossrefs

Sequence in context: A045239 A185462 A253740 * A241102 A292545 A321115

Adjacent sequences: A253730 A253731 A253732 * A253734 A253735 A253736

Keyword

nonn

Author

R. H. Hardin, Jan 11 2015

Status

approved