A188099 Number of (n+3) X 6 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.

1417, 243, 486, 1421, 3013, 3765, 4041, 4285, 4537, 4817, 5317, 6393, 9606, 13599, 18088, 23397, 31095, 39853, 49607, 61257, 78509, 100814, 128604, 163599, 211894, 274000, 351345, 447545, 574297, 737165, 943062, 1202809, 1541403, 1978219

Offset

1,1

Comments

Column 3 of A188105.

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-4)-2*a(n-5)+a(n-6)+a(n-8)-a(n-9) for n>13.

Empirical g.f.: x*(1417 - 2591*x + 1417*x^2 + 692*x^3 - 760*x^4 + 1751*x^5 - 1893*x^6 - 724*x^7 - 2066*x^8 + 2042*x^9 + 453*x^10 - 327*x^11 + 537*x^12) / ((1 - x)*(1 - x - x^4 + x^5 - x^8)). - Colin Barker, Feb 07 2018

Example

Some solutions for 5 X 6:
..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..1....0..0..0..0..0..0
..0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..1..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....1..0..0..0..0..0
..0..0..0..0..0..0....1..0..0..0..0..1....0..0..0..0..0..0....0..1..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..0....0..1..1..0..0..0

Crossrefs

Sequence in context: A263671 A207046 A237220 * A252106 A252107 A252114

Adjacent sequences: A188096 A188097 A188098 * A188100 A188101 A188102

Keyword

nonn

Author

R. H. Hardin, Mar 20 2011

Status

approved