A260495 Number of (n+2)X(2+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001011

83, 136, 347, 683, 942, 2115, 4393, 6800, 13290, 27885, 47140, 86478, 177017, 317762, 571813, 1132672, 2104849, 3796781, 7316331, 13812624, 25170727, 47622068, 90289367, 166305539, 311514903, 589735035, 1095258406, 2043057469, 3854473062

Offset

1,1

Comments

Column 2 of A260501

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) -7*a(n-6) -18*a(n-7) -10*a(n-8) +5*a(n-9) +7*a(n-10) +16*a(n-11) +6*a(n-12) -4*a(n-13) -3*a(n-15) -2*a(n-16) +a(n-17) for n>19

Example

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

Crossrefs

Cf. A260501

Sequence in context: A142409 A210527 A140038 * A165502 A126711 A039548

Adjacent sequences: A260492 A260493 A260494 * A260496 A260497 A260498

Keyword

nonn

Author

R. H. Hardin, Jul 27 2015

Status

approved