A238058 Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the lower median minus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1910, 14429, 109386, 828750, 6261150, 47346273, 358316792, 2711887788, 20506077144, 155139948464, 1173585528600, 8880284390128, 67163140049616, 508174004578308, 3843778132646744, 29083916585165508, 219977779917187008

Offset

1,1

Comments

Column 1 of A238063

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 2348*a(n-4) +50196*a(n-6) +164236*a(n-8) -42860*a(n-10) +2752240*a(n-12) -2760128*a(n-14) +10991872*a(n-16) -60822016*a(n-18) -31266816*a(n-20) +26937344*a(n-22) +27664384*a(n-24) +6701056*a(n-26)

Example

Some solutions for n=4
..3..1....2..2....1..0....0..0....0..1....0..1....2..0....1..3....1..0....0..1
..0..2....2..1....0..3....3..0....1..3....2..2....0..3....0..0....1..3....0..3
..0..3....3..2....2..0....3..2....0..2....0..2....1..2....2..1....2..0....0..2
..2..3....1..1....3..3....0..0....1..0....1..0....1..2....2..2....0..1....3..3
..1..2....3..1....1..1....1..3....3..0....2..3....0..1....1..1....0..1....3..2

Crossrefs

Sequence in context: A237791 A237786 A238063 * A235972 A235965 A206188

Adjacent sequences: A238055 A238056 A238057 * A238059 A238060 A238061

Keyword

nonn

Author

R. H. Hardin, Feb 17 2014

Status

approved