A214384 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, and no element equal to its horizontal neighbors.

2, 3, 4, 4, 14, 8, 5, 32, 94, 16, 6, 60, 456, 890, 32, 7, 100, 1506, 11048, 11700, 64, 8, 154, 3976, 74260, 445024, 211760, 128, 9, 224, 9044, 350232, 6981540, 29456216, 5247716, 256, 10, 312, 18480, 1305392, 65905056, 1232720402, 3183854216, 177440488, 512

Offset: 1

Author

R. H. Hardin Jul 14 2012

Keywords

• nonn
• tabl

Comments

Table starts

..2.....3......4.......5........6.........7..........8...........9..........10

..4....14.....32......60......100.......154........224.........312.........420

..8....94....456....1506.....3976......9044......18480.......34812.......61512

.16...890..11048...74260...350232...1305392....4107248....11363940....28412824

.32.11700.445024.6981540.65905056.444106514.2347567992.10319444960.39220393240

Examples

			Some solutions for n=3 k=3
....1......1......1......3......1......3......1......1......2......1......3
...2.1....1.2....1.2....3.1....1.2....1.3....2.0....1.0....1.3....1.0....3.1
..0.2.0..1.3.1..0.2.1..2.3.0..1.2.3..2.1.3..3.0.3..1.2.0..2.1.3..0.1.0..3.0.2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..98

Crossrefs

Row 2 is A159920(n+1)

Formula

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