A186593 Number of (n+3)X6 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

430183, 8853, 33006, 407733, 1398069, 1824789, 1889853, 1922661, 1956045, 1993893, 2122389, 2663373, 6952128, 12534435, 18583878, 25969209, 44698005, 67421001, 91930893, 122071401, 199108569, 304875258, 434150964, 602474511

Offset

1,1

Comments

Column 3 of A186599

Links

R. H. Hardin, Table of n, a(n) for n = 1..86

Formula

Empirical: a(n)=2*a(n-1)-a(n-2)+3*a(n-4)-6*a(n-5)+3*a(n-6)+3*a(n-8)-3*a(n-9) for n>13

Example

Some solutions for 5X6
..0..0..0..0..0..1....2..0..0..0..0..0....0..0..0..0..0..3....0..0..0..0..1..0
..0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..2....0..0..0..0..0..1
..1..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..0..2
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..2..0..0..0..0..0....0..0..0..0..0..0....1..0..0..0..0..0....3..0..0..0..0..0

Crossrefs

Sequence in context: A251639 A051595 A234857 * A328197 A233620 A271110

Adjacent sequences: A186590 A186591 A186592 * A186594 A186595 A186596

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved