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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

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

LINKS

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

EXAMPLE

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

CROSSREFS

Column 2 is A000110(n-1)

Column 4 is A208302

Odd squares: A215924

Sequence in context: A203181 A113793 A289499 * A083552 A326034 A332207

Adjacent sequences:  A215901 A215902 A215903 * A215905 A215906 A215907

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Aug 26 2012

STATUS

approved

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Last modified September 28 12:34 EDT 2020. Contains 337393 sequences. (Running on oeis4.)