A186597 Number of (n+3) X 10 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.

71095231, 1126074, 1889853, 5711805, 12563805, 17002221, 17395749, 17856813, 20158773, 23363757, 27162237, 33026037, 58823757, 91003557, 125475693, 167526981, 305320872, 471875955, 656703486, 881859873, 1471637229, 2244237561

Offset

1,1

Comments

Column 7 of A186599.

Links

R. H. Hardin, Table of n, a(n) for n = 1..38

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>17.

Example

Some solutions for 5 X 10
..0..0..0..0..0..0..2..3..3..1....0..0..0..0..0..0..0..0..1..0
..0..0..0..0..0..0..0..2..3..3....0..0..0..0..0..0..0..0..1..1
..0..0..0..0..0..0..0..0..2..3....0..0..0..0..0..0..0..0..0..0
..2..0..0..0..0..0..0..0..0..2....0..0..0..0..0..0..0..0..0..0
..0..3..3..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..0

Crossrefs

Cf. A186599.

Sequence in context: A294989 A204405 A186618 * A216008 A237075 A291591

Adjacent sequences: A186594 A186595 A186596 * A186598 A186599 A186600

Keyword

nonn

Author

R. H. Hardin, Feb 24 2011

Status

approved