A255022 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 0 or 1 and no column sum 0 or 1

117, 405, 1489, 5077, 17447, 60237, 206739, 711741, 2455031, 8451157, 29078117, 100127001, 344830161, 1187280665, 4087598971, 14073866371, 48459148689, 166851565139, 574482172185, 1977991833471, 6810453196653, 23449166058609

Offset

1,1

Comments

Column 3 of A255027

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +32*a(n-4) +44*a(n-5) +37*a(n-6) -32*a(n-7) -81*a(n-8) -12*a(n-9) +47*a(n-10) +38*a(n-11) +8*a(n-12) -6*a(n-13) -4*a(n-14) -4*a(n-15) for n>17

Example

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

Crossrefs

Cf. A255027

Sequence in context: A252861 A252854 A156884 * A217798 A252853 A273125

Adjacent sequences: A255019 A255020 A255021 * A255023 A255024 A255025

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved