A233983 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal

236, 1540, 9632, 62040, 393396, 2520604, 16042420, 102569896, 653740236, 4175880380, 26632556736, 170044378852, 1084833846436, 6924940011112, 44186146407404, 282025989515940, 1799679817590096, 11486087605706420

Offset

1,1

Comments

Column 2 of A233989

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +53*a(n-2) -116*a(n-3) -892*a(n-4) +1620*a(n-5) +5804*a(n-6) -9766*a(n-7) -13812*a(n-8) +23148*a(n-9) +8224*a(n-10) -16848*a(n-11) +2560*a(n-12) +256*a(n-13)

Example

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

Crossrefs

Sequence in context: A273181 A259639 A334649 * A251491 A251484 A247475

Adjacent sequences: A233980 A233981 A233982 * A233984 A233985 A233986

Keyword

nonn

Author

R. H. Hardin, Dec 18 2013

Status

approved