A259718 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011

140, 228, 568, 1064, 1244, 2858, 6092, 8638, 15640, 34858, 57256, 94682, 200008, 364268, 598252, 1171728, 2247716, 3811864, 7036700, 13649110, 24088156, 43117388, 82546000, 150335226, 267211096, 500979428, 928570300, 1661448778

Offset

1,1

Comments

Column 3 of A259723

Links

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

Formula

Empirical: a(n) = 6*a(n-3) +6*a(n-4) -9*a(n-6) -16*a(n-7) -12*a(n-8) +4*a(n-9) +7*a(n-10) +10*a(n-11) +14*a(n-12) -3*a(n-16)

Example

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

Crossrefs

Cf. A259723

Sequence in context: A054573 A131492 A276026 * A090945 A140798 A325022

Adjacent sequences: A259715 A259716 A259717 * A259719 A259720 A259721

Keyword

nonn

Author

R. H. Hardin, Jul 03 2015

Status

approved