A233727 Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 6 and no adjacent elements equal

148, 756, 3972, 21432, 115972, 631628, 3435216, 18733728, 102007004, 556289404, 3030290308, 16522951748, 90024199928, 490800907380, 2674421936852, 14579265732508, 79450066179340, 433084651112312, 2360226967287744

Offset

1,1

Comments

Column 2 of A233733

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +30*a(n-2) -71*a(n-3) -192*a(n-4) +415*a(n-5) +410*a(n-6) -847*a(n-7) -269*a(n-8) +544*a(n-9) +38*a(n-10) -42*a(n-11) -4*a(n-12)

Example

Some solutions for n=5
..0..2..0....1..2..0....1..0..1....3..2..3....1..0..2....1..2..3....3..2..0
..1..0..1....2..0..1....3..2..0....2..0..1....3..1..3....3..1..0....1..3..1
..3..1..3....3..2..3....2..0..1....3..2..3....1..0..1....2..0..2....3..2..3
..2..0..1....1..0..1....0..1..3....0..1..0....2..3..2....3..1..0....2..0..1
..1..2..0....2..3..2....2..0..2....1..3..1....3..1..3....2..0..2....3..2..0
..2..0..1....3..1..3....3..2..3....0..1..2....1..0..1....3..1..0....1..0..1

Crossrefs

Sequence in context: A344409 A127028 A186894 * A178264 A121280 A338970

Adjacent sequences: A233724 A233725 A233726 * A233728 A233729 A233730

Keyword

nonn

Author

R. H. Hardin, Dec 15 2013

Status

approved