A268423 T(n,k)=Number of nXk 0..3 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

1, 2, 2, 4, 15, 5, 12, 159, 187, 14, 39, 2191, 9054, 2530, 44, 138, 30295, 494098, 467899, 34195, 147, 499, 421471, 25770278, 92967597, 22309009, 448667, 505, 1830, 5797959, 1339895662, 17282463434, 15615613747, 999810316, 5720450, 1750, 6723, 79367143

Offset

1,2

Comments

Table starts

....1.........2.............4..............12...............39..............138

....2........15...........159............2191............30295...........421471

....5.......187..........9054..........494098.........25770278.......1339895662

...14......2530........467899........92967597......17282463434....3197637400309

...44.....34195......22309009.....15615613747...10053286458091.6434348326690233

..147....448667.....999810316...2414369699870.5273786308929110

..505...5720450...42764566838.350815694801710

.1750..71224847.1764109373799

.6065.869969995

Links

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

Example

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

Crossrefs

Column 3 is A268047.

Row 1 is A268069.

Row 2 is A268070.

Row 3 is A268178.

Sequence in context: A205161 A205310 A222924 * A261531 A153968 A153965

Adjacent sequences: A268420 A268421 A268422 * A268424 A268425 A268426

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2016

Status

approved