A233960 Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10.

48, 188, 728, 3016, 12416, 52880, 224288, 966496, 4154112, 17982656, 77729664, 337053824, 1460367360, 6336344320, 27480998400, 119261455872, 517457334272, 2245803076608, 9745906759680, 42298798098432, 183573873852416

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) + 10*a(n-2) - 36*a(n-3) - 8*a(n-4) + 16*a(n-5).

Empirical g.f.: 4*x*(12 - x - 126*x^2 - 12*x^3 + 56*x^4) / ((1 - 2*x - 2*x^2)*(1 - 2*x - 12*x^2 + 8*x^3)). - Colin Barker, Oct 12 2018

Example

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

Crossrefs

Column 1 of A233967.

Sequence in context: A233792 A233967 A233785 * A210250 A259038 A231174

Adjacent sequences: A233957 A233958 A233959 * A233961 A233962 A233963

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved