A255095 Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1

77, 189, 539, 1475, 4075, 11573, 32627, 91821, 259851, 734851, 2075941, 5870163, 16600435, 46931203, 132697609, 375223671, 1060938473, 2999820909, 8482201517, 23983752731, 67814920687, 191749978139, 542181596411, 1533041341641

Offset

1,1

Comments

Column 2 of A255101

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +6*a(n-3) -12*a(n-4) -3*a(n-5) -a(n-6) +6*a(n-7) +a(n-8) +6*a(n-9) +a(n-10) +3*a(n-11) -3*a(n-12) -3*a(n-13) -2*a(n-14)

Example

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

Crossrefs

Cf. A255101

Sequence in context: A043518 A044409 A044790 * A029558 A156652 A298102

Adjacent sequences: A255092 A255093 A255094 * A255096 A255097 A255098

Keyword

nonn

Author

R. H. Hardin, Feb 14 2015

Status

approved