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A208301 T(n,k)=Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal or antidiagonal neighbor (colorings ignoring permutations of colors). 13
1, 1, 2, 2, 5, 5, 5, 42, 52, 15, 15, 602, 2906, 877, 52, 52, 12840, 373780, 433252, 21147, 203, 203, 373780, 87852626, 656404264, 113503692, 678570, 877, 877, 14050312, 33093356640, 2227156082842, 2475181138384, 46538017584, 27644437, 4140 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..210 (terms 1..58 from R. H. Hardin)
EXAMPLE
Table starts
....1..........1.................2.....................5
....2..........5................42...................602
....5.........52..............2906................373780
...15........877............433252.............656404264
...52......21147.........113503692.........2475181138384
..203.....678570.......46538017584.....17131843186425504
..877...27644437....27700815674032.196551307092757144384
.4140.1382958545.22702140562948192
Some solutions for n=4 k=3
..0..1..0....0..1..0....0..1..0....0..1..0....0..1..0....0..1..2....0..1..0
..0..1..0....0..1..0....0..1..0....0..1..0....2..3..0....0..3..0....0..1..0
..0..1..0....0..2..1....0..1..0....0..1..0....0..2..0....0..1..0....2..1..0
..0..2..1....0..2..0....0..1..0....0..1..2....0..1..0....0..3..0....2..1..2
CROSSREFS
Columns 1..6 are A000110, A099977(n-1), A208297, A208298, A208299, A208300
Main diagonal is A361450.
Cf. A207868.
Sequence in context: A172417 A158106 A185313 * A069896 A053246 A219651
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 25 2012
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)