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A268169 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row and column one larger mod 4 than the previous repeated value, and upper left element zero. 6
1, 4, 4, 15, 64, 15, 55, 900, 900, 55, 197, 12100, 44517, 12100, 197, 695, 155236, 2059071, 2059071, 155236, 695, 2421, 1932100, 88808673, 320575732, 88808673, 1932100, 2421, 8351, 23444964, 3660830427, 45491100473, 45491100473 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.........4............15..............55..............197..............695

....4........64...........900...........12100...........155236..........1932100

...15.......900.........44517.........2059071.........88808673.......3660830427

...55.....12100.......2059071.......320575732......45491100473....6079523426038

..197....155236......88808673.....45491100473...20767565076062.8800216390226342

..695...1932100....3660830427...6079523426038.8800216390226342

.2421..23444964..145301219913.772758264915572

.8351.278956804.5600451934263

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-1) -2*a(n-2) -12*a(n-3)

k=2: a(n) = 23*a(n-1) -106*a(n-2) -724*a(n-3) +4128*a(n-4) +9216*a(n-5) -20736*a(n-6)

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A219350 A222511 A135944 * A177241 A076821 A165825

Adjacent sequences:  A268166 A268167 A268168 * A268170 A268171 A268172

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 2016

STATUS

approved

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Last modified September 19 09:06 EDT 2020. Contains 337178 sequences. (Running on oeis4.)