A260065 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111

256, 594, 1680, 3825, 6714, 16344, 42094, 84761, 173654, 438404, 996340, 2016015, 4598146, 11017398, 23615180, 50616069, 118597002, 268738044, 575235736, 1289517999, 2973476636, 6546511470, 14328637582, 32602124265, 73467292150

Offset

1,1

Comments

Column 3 of A260070

Links

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

Formula

Empirical: a(n) = 7*a(n-3) +15*a(n-4) -8*a(n-6) -29*a(n-7) -36*a(n-8) -3*a(n-9) -10*a(n-10) +4*a(n-11) +26*a(n-12) -23*a(n-13) -12*a(n-14) -28*a(n-15) -8*a(n-17) for n>21

Example

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

Crossrefs

Cf. A260070

Sequence in context: A110297 A134608 A134609 * A329488 A086061 A235092

Adjacent sequences: A260062 A260063 A260064 * A260066 A260067 A260068

Keyword

nonn

Author

R. H. Hardin, Jul 14 2015

Status

approved