A230968 T(n,k) = Number of n X k 0..3 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, and upper left element zero.

0, 0, 0, 0, 6, 0, 0, 22, 22, 0, 0, 200, 328, 200, 0, 0, 1732, 8696, 8696, 1732, 0, 0, 14384, 220970, 741638, 220970, 14384, 0, 0, 121696, 5669980, 66622532, 66622532, 5669980, 121696, 0, 0, 1027464, 145756934, 5943688666, 20816992724, 5943688666

Offset

1,5

Comments

Table starts

.0.......0..........0..............0................0................0

.0.......6.........22............200.............1732............14384

.0......22........328...........8696...........220970..........5669980

.0.....200.......8696.........741638.........66622532.......5943688666

.0....1732.....220970.......66622532......20816992724....6479894318198

.0...14384....5669980.....5943688666....6479894318198.6999441442491276

.0..121696..145756934...529115404280.2012129115093308

.0.1027464.3741811720.47219421549032

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=2: [linear recurrence order 8]

k=3: [order 37]

Example

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

Crossrefs

Sequence in context: A340905 A210446 A002044 * A028700 A362791 A278014

Adjacent sequences: A230965 A230966 A230967 * A230969 A230970 A230971

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 02 2013

Status

approved