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A230977 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 9
0, 16, 16, 64, 144, 64, 256, 1024, 1024, 256, 1344, 9216, 13872, 9216, 1344, 7056, 85264, 215296, 215296, 85264, 7056, 34944, 767376, 3512016, 6170256, 3512016, 767376, 34944, 173056, 6885376, 56791296, 190219264, 190219264, 56791296 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

......0.......16..........64...........256.............1344...............7056

.....16......144........1024..........9216............85264.............767376

.....64.....1024.......13872........215296..........3512016...........56791296

....256.....9216......215296.......6170256........190219264.........5771137024

...1344....85264.....3512016.....190219264......11094079744.......630277210000

...7056...767376....56791296....5771137024.....630277210000.....66985909298064

..34944..6885376...916182800..173342326336...35475345905904...7053147648320400

.173056.61968384.14798235904.5217149355664.2001432811365376.744552485586204304

LINKS

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

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) +20*a(n-3) +25*a(n-4)

k=2: a(n) = 9*a(n-1) -8*a(n-2) +72*a(n-3) +9*a(n-4) -81*a(n-5)

k=3: [order 25]

EXAMPLE

Some solutions for n=1 k=4

..0..3..0..3..2..1....0..1..2..1..2..3....0..2..2..0..0..0....0..0..0..0..0..2

..2..1..0..3..2..1....0..1..2..3..0..1....1..1..3..3..1..1....3..1..1..3..3..1

..0..1..2..3..0..1....0..1..0..3..2..3....0..2..0..2..2..0....0..2..2..2..2..2

CROSSREFS

Sequence in context: A022350 A226068 A087970 * A174683 A174994 A175971

Adjacent sequences:  A230974 A230975 A230976 * A230978 A230979 A230980

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 02 2013

STATUS

approved

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Last modified September 25 03:12 EDT 2022. Contains 356953 sequences. (Running on oeis4.)