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A201625
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T(n,k)=Number of nXk 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor
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9
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0, 4, 4, 4, 16, 4, 10, 56, 56, 10, 16, 211, 378, 211, 16, 26, 718, 3699, 3699, 718, 26, 40, 2271, 31802, 91223, 31802, 2271, 40, 59, 6654, 256836, 2111763, 2111763, 256836, 6654, 59, 84, 18191, 1877283, 45733593, 136175057, 45733593, 1877283, 18191, 84
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OFFSET
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1,2
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COMMENTS
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Table starts
...0......4.........4...........10.............16..............26
...4.....16........56..........211............718............2271
...4.....56.......378.........3699..........31802..........256836
..10....211......3699........91223........2111763........45733593
..16....718.....31802......2111763......136175057......8368969235
..26...2271....256836.....45733593.....8368969235...1492809994673
..40...6654...1877283....891142897...464328365996.242036871702096
..59..18191..12466658..15644678596.23135668030252
..84..46767..75830797.249289360661
.116.113873.426330762
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LINKS
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EXAMPLE
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Some solutions for n=3 k=3
..1..1..3....1..1..1....0..1..1....0..0..0....0..0..3....0..0..0....1..1..2
..1..2..3....1..3..3....0..2..2....0..2..2....0..3..3....0..2..3....1..2..2
..2..2..2....3..3..3....1..1..2....1..1..2....3..3..3....2..2..3....3..3..2
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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