A190029 Number of (n+2) X 7 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.

616, 235, 362, 578, 834, 970, 1162, 1418, 1802, 2446, 3314, 4446, 6199, 8432, 11313, 15459, 20953, 28227, 38519, 52392, 70926, 96624, 131397, 178105, 242269, 329381, 446962, 607697, 826153, 1121786, 1524737, 2072521, 2815063, 3825658, 5199542

Offset

1,1

Comments

Column 5 of A190033.

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +a(n-5) +a(n-6) -a(n-7) for n>13.

Empirical g.f.: x*(616 - 997*x + 508*x^2 - 527*x^3 + 1037*x^4 - 628*x^5 - 649*x^6 + 405*x^7 + 121*x^8 - 12*x^9 - 96*x^10 + 169*x^12) / ((1 - x)*(1 - x - x^3 + x^4 - x^6)). - Colin Barker, May 03 2018

Example

Some solutions for 4 X 7:
..1..0..0..0..0..1..0....0..0..0..0..0..1..1....0..0..0..0..0..0..1
..0..0..0..0..0..0..1....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....1..0..0..0..0..0..0
..0..1..0..0..0..0..0....1..1..0..0..0..0..0....0..1..0..0..0..0..0

Crossrefs

Cf. A190033.

Sequence in context: A252923 A268245 A268102 * A252252 A260367 A218847

Adjacent sequences: A190026 A190027 A190028 * A190030 A190031 A190032

Keyword

nonn

Author

R. H. Hardin, May 04 2011

Status

approved