A234211 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11

308, 1540, 7348, 38424, 190188, 1029224, 5219076, 28931288, 148987468, 838864504, 4360734660, 24788769080, 129580167628, 740795388728, 3884928235332, 22283140973496, 117075211006540, 672795456240696, 3538587841442884

Offset

1,1

Comments

Column 2 of A234217

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +51*a(n-2) -354*a(n-3) -656*a(n-4) +6790*a(n-5) -457*a(n-6) -52786*a(n-7) +47381*a(n-8) +158504*a(n-9) -209462*a(n-10) -148184*a(n-11) +260800*a(n-12) +12192*a(n-13) -94128*a(n-14) +21312*a(n-15)

Example

Some solutions for n=5
..1..2..1....2..2..2....1..2..4....0..0..0....0..0..2....1..2..3....1..0..1
..3..3..3....1..0..1....1..3..2....2..1..2....2..1..0....3..1..3....2..0..2
..1..2..1....2..0..2....2..1..3....2..0..0....0..0..2....2..1..2....1..0..1
..3..1..3....1..2..1....1..3..2....1..2..1....2..1..2....3..1..3....0..2..0
..2..1..2....1..3..1....1..2..4....2..0..2....2..0..0....3..2..3....1..2..1
..3..3..3....1..2..1....1..3..4....1..2..1....1..2..1....3..1..3....3..3..1

Crossrefs

Sequence in context: A224675 A249552 A237457 * A053172 A343273 A337955

Adjacent sequences: A234208 A234209 A234210 * A234212 A234213 A234214

Keyword

nonn

Author

R. H. Hardin, Dec 21 2013

Status

approved