A261550 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011.

170, 269, 516, 754, 1210, 2187, 3436, 5368, 9414, 14902, 22538, 38820, 62948, 95896, 161958, 263965, 405226, 675457, 1107300, 1715143, 2825384, 4636573, 7238868, 11834981, 19424306, 30536389, 49628386, 81354986, 128648034, 208252970

Offset

1,1

Comments

Column 3 of A261553.

Links

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

Formula

Empirical: a(n) = 9*a(n-6) +4*a(n-7) +14*a(n-9) +12*a(n-10) +2*a(n-11) +9*a(n-12) +4*a(n-13) +12*a(n-14) -16*a(n-16) +24*a(n-17) -4*a(n-18) -24*a(n-19) +22*a(n-20) -16*a(n-22) +12*a(n-23) for n>30

Example

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

Crossrefs

Cf. A261553.

Sequence in context: A229467 A218071 A113789 * A043690 A043575 A043746

Adjacent sequences: A261547 A261548 A261549 * A261551 A261552 A261553

Keyword

nonn

Author

R. H. Hardin, Aug 24 2015

Status

approved