A234131 T(n,k)=Number of (n+1)X(k+1) 0..6 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

91, 469, 469, 2413, 4757, 2413, 12457, 47933, 47933, 12457, 64441, 484731, 951709, 484731, 64441, 333883, 4909103, 19007583, 19007583, 4909103, 333883, 1731979, 49779251, 380250439, 753253097, 380250439, 49779251, 1731979, 8992639

Offset

1,1

Comments

Table starts

.....91......469.......2413.........12457...........64441............333883

....469.....4757......47933........484731.........4909103..........49779251

...2413....47933.....951709......19007583.......380250439........7615879723

..12457...484731...19007583.....753253097.....29939517797.....1191882104721

..64441..4909103..380250439...29939517797...2369586581169...188019423921117

.333883.49779251.7615879723.1191882104721.188019423921117.29777695096321851

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

k=1: a(n) = 10*a(n-1) -24*a(n-2) -18*a(n-3) +57*a(n-4) +54*a(n-5) +12*a(n-6)

k=2: [order 14]

k=3: [order 27]

k=4: [order 78]

Example

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

Crossrefs

Sequence in context: A209255 A273799 A063137 * A234124 A180942 A211447

Adjacent sequences: A234128 A234129 A234130 * A234132 A234133 A234134

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2013

Status

approved