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A230968 T(n,k)=Number of nXk 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 5
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 (list; table; graph; refs; listen; history; text; internal format)
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 A278014 A230337

Adjacent sequences:  A230965 A230966 A230967 * A230969 A230970 A230971

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 02 2013

STATUS

approved

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Last modified August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)