A234036 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

61, 307, 307, 1543, 3059, 1543, 7783, 30263, 30263, 7783, 39331, 300597, 591711, 300597, 39331, 199003, 2990333, 11637549, 11637549, 2990333, 199003, 1007683, 29784763, 229271097, 454996327, 229271097, 29784763, 1007683, 5105107

Offset

1,1

Comments

Table starts

.....61......307.......1543.........7783...........39331............199003

....307.....3059......30263.......300597.........2990333..........29784763

...1543....30263.....591711.....11637549.......229271097........4522455227

...7783...300597...11637549....454996327.....17838321119......700485517781

..39331..2990333..229271097..17838321119...1394283842243...109246451313313

.199003.29784763.4522455227.700485517781.109246451313313.17100147398257787

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: a(n) = 7*a(n-1) -6*a(n-2) -18*a(n-3) -6*a(n-4)

k=2: [order 9]

k=3: [order 16]

k=4: [order 44]

k=5: [order 95]

Example

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

Crossrefs

Sequence in context: A142605 A142133 A302730 * A142217 A234029 A142923

Adjacent sequences: A234033 A234034 A234035 * A234037 A234038 A234039

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 18 2013

Status

approved