A215904 T(n,k)=Number of diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order.

1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 5, 5, 15, 5, 5, 5, 15, 42, 42, 15, 5, 15, 52, 726, 602, 726, 52, 15, 15, 203, 2906, 12840, 12840, 2906, 203, 15, 52, 877, 84550, 373780, 2387217, 373780, 84550, 877, 52, 52, 4140, 433252, 14050312, 87852626, 87852626, 14050312, 433252

Offset: 1

Author

R. H. Hardin Aug 26 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1......1...........2...............2..................5....................5

...1......1...........2...............5.................15...................52

...2......2..........15..............42................726.................2906

...2......5..........42.............602..............12840...............373780

...5.....15.........726...........12840............2387217.............87852626

...5.....52........2906..........373780...........87852626..........33093356640

..15....203.......84550........14050312........37060769357.......18383354944364

..15....877......433252.......656404264......2227156082842....14216420563705724

..52...4140....18378580.....37060650272...1701536105684377.14670987605491079080

..52..21147...113503692...2475181138384.148049849095504726

.203.115975..6485270720.192262536609952

.203.678570.46538017584

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 2 is A000110(n-1)

Column 4 is A208302

Odd squares: A215924