A186598 Number of (n+3)X11 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock

78728809, 1184226, 1922661, 5769381, 12653493, 17171973, 17856813, 20385141, 23590989, 27166341, 31913637, 43392285, 72170517, 105970461, 144672021, 210476109, 337796493, 520618896, 732388035, 1059900702, 1658296953

Offset

1,1

Comments

Column 8 of A186599

Links

R. H. Hardin, Table of n, a(n) for n = 1..34

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>18

Example

Some solutions for 5X11
..0..0..0..0..0..0..1..0..0..0..3....0..0..0..0..0..0..0..0..0..2..2
..0..0..0..0..0..0..0..1..0..0..0....0..0..0..0..0..0..0..0..0..1..1
..0..0..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..0..1..0....0..0..0..0..0..0..0..0..0..0..0
..0..1..2..0..0..0..0..0..0..0..1....3..3..0..0..0..0..0..0..0..0..0

Crossrefs

Sequence in context: A251174 A053431 A179578 * A306407 A210164 A119075

Adjacent sequences: A186595 A186596 A186597 * A186599 A186600 A186601

Keyword

nonn

Author

R. H. Hardin Feb 24 2011

Status

approved