A259719 Number of (n+2)X(4+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 or 00000011

242, 392, 1064, 2059, 2218, 5458, 12198, 16269, 30246, 71722, 114938, 186119, 418594, 768832, 1221808, 2484405, 4916514, 8160850, 15213700, 30646619, 53913804, 95998916, 189578558, 349488589, 616691978, 1178428556, 2229228408

Offset

1,1

Comments

Column 4 of A259723

Links

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

Formula

Empirical: a(n) = a(n-2) +7*a(n-3) +7*a(n-4) -6*a(n-5) -22*a(n-6) -26*a(n-7) -9*a(n-8) +33*a(n-9) +46*a(n-10) +28*a(n-11) +10*a(n-12) -29*a(n-13) -39*a(n-14) -16*a(n-15) -14*a(n-16) +4*a(n-17) +17*a(n-18) +a(n-19) +3*a(n-20) +2*a(n-21) -3*a(n-22)

Example

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

Crossrefs

Cf. A259723

Sequence in context: A113468 A220089 A039665 * A023703 A184023 A211406

Adjacent sequences: A259716 A259717 A259718 * A259720 A259721 A259722

Keyword

nonn

Author

R. H. Hardin, Jul 03 2015

Status

approved