A266183 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any diagonal or antidiagonal neighbor equal to n-1.

1, 1, 2, 1, 2, 6, 1, 2, 22, 24, 1, 2, 88, 384, 120, 1, 2, 296, 7768, 19080, 720, 1, 2, 1372, 226296, 4027960, 1019328, 5040, 1, 2, 6128, 7089448, 1203241488, 2437859280, 106546608, 40320, 1, 2, 29552, 253282792, 409870443648, 8822224268688

Offset

1,3

Comments

Table starts

......1...........1.............1.............1............1.........1

......2...........2.............2.............2............2.........2

......6..........22............88...........296.........1372......6128

.....24.........384..........7768........226296......7089448.253282792

....120.......19080.......4027960....1203241488.409870443648

....720.....1019328....2437859280.8822224268688

...5040...106546608.3971117183616

..40320.11075595648

.362880

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 1 is A000142.

Column 2 is A265860.

Sequence in context: A355721 A249027 A307584 * A232483 A338870 A265894

Adjacent sequences: A266180 A266181 A266182 * A266184 A266185 A266186

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 23 2015

Status

approved