A214352 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.

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

Offset: 1

Author

R. H. Hardin Jul 13 2012

Keywords

• nonn
• tabl

Comments

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..99

Crossrefs

Column 1 is 2*A183278

Row 2 is A084990(n+1)

Formula

Empirical: rows n=1..5 are polynomials of degree n(n+1)/2 in k