A259740 Number of (n+2) X (6+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101.

152, 414, 1514, 4456, 12086, 36522, 110886, 321402, 940024, 2797222, 8258758, 24257464, 71561342, 211332750, 622843492, 1835798648, 5415224264, 15970038332, 47084802318, 138843880250, 409450822484, 1207369012134, 3560209628616

Offset

1,1

Comments

Column 6 of A259742.

Links

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

Formula

Empirical: a(n) = a(n-1) +9*a(n-3) +18*a(n-4) +14*a(n-5) +19*a(n-6) -13*a(n-7) -67*a(n-8) -38*a(n-9) +19*a(n-10) +49*a(n-11) +50*a(n-12) -16*a(n-13) -41*a(n-14) -5*a(n-15) -a(n-16) -7*a(n-17) +3*a(n-18) +2*a(n-19) +a(n-20) for n>22.

Example

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

Crossrefs

Cf. A259742.

Sequence in context: A248816 A038857 A137632 * A253359 A226365 A085775

Adjacent sequences: A259737 A259738 A259739 * A259741 A259742 A259743

Keyword

nonn

Author

R. H. Hardin, Jul 04 2015

Status

approved