A259947 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000101

156, 549, 2438, 8699, 30351, 115410, 438353, 1615572, 5983278, 22387088, 83497726, 310419235, 1155916673, 4308316980, 16046423584, 59751346761, 222558385418, 829007147866, 3087623758483, 11499815151619, 42832625165165

Offset

1,1

Comments

Column 3 of A259952

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +12*a(n-3) +27*a(n-4) -31*a(n-5) -10*a(n-6) -62*a(n-7) -30*a(n-8) +42*a(n-9) +13*a(n-10) +47*a(n-11) -3*a(n-12) -14*a(n-13) -4*a(n-15) +2*a(n-16) for n>17

Example

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

Crossrefs

Cf. A259952

Sequence in context: A156849 A250382 A106056 * A043356 A038476 A158550

Adjacent sequences: A259944 A259945 A259946 * A259948 A259949 A259950

Keyword

nonn

Author

R. H. Hardin, Jul 10 2015

Status

approved