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A214352
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T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors
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12
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2, 3, 6, 4, 17, 26, 5, 36, 169, 160, 6, 65, 660, 2853, 1386, 7, 106, 1951, 23554, 80573, 16814, 8, 161, 4822, 127813, 1602092, 3778867, 284724, 9, 232, 10507, 529006, 17790765, 205613460, 293207907, 6715224, 10, 321, 20840, 1807653, 135538054
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OFFSET
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1,1
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COMMENTS
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Table starts
....2.....3.......4........5.........6.........7..........8...........9
....6....17......36.......65.......106.......161........232.........321
...26...169.....660.....1951......4822.....10507......20840.......38421
..160..2853...23554...127813....529006...1807653....5349708....14150061
.1386.80573.1602092.17790765.135538054.790197579.3766437036.15329961031
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LINKS
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FORMULA
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Empirical: rows n=1..5 are polynomials of degree n(n+1)/2 in k
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EXAMPLE
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Some solutions for n=3 k=3
....0......0......1......1......2......2......2......2......2......3......3
...0.1....3.0....1.1....0.2....2.1....1.2....3.1....0.2....2.0....3.3....3.2
..2.0.3..3.1.0..0.3.0..0.3.2..3.0.2..1.2.0..3.0.2..3.0.2..2.3.0..1.3.1..3.2.3
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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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