A212044 T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-k-1.

0, 0, 1, 0, 1, 4, 0, 0, 5, 19, 0, 0, 5, 119, 58, 0, 0, 5, 319, 1310, 136, 0, 0, 5, 447, 14949, 7849, 271, 0, 0, 0, 463, 94131, 253072, 32696, 484, 0, 0, 0, 463, 339764, 5054845, 2326567, 107400, 799, 0, 0, 0, 463, 728291, 65635205, 109065807, 14516200, 298404

Offset: 1

Author

R. H. Hardin Apr 28 2012

Keywords

• nonn
• tabl

Comments

Table starts

...0......0........0..........0...........0...........0..........0...........0

...1......1........0..........0...........0...........0..........0...........0

...4......5........5..........5...........5...........0..........0...........0

..19....119......319........447.........463.........463........463.........463

..58...1310....14949......94131......339764......728291....1010440.....1087168

.136...7849...253072....5054845....65635205...566694913.3281785526.12771345347

.271..32696..2326567..109065807..3564578765.83865812963

.484.107400.14516200.1339229741.89579748909

Examples

			Some solutions for n=4 k=4
..0........0........0........0........0........0........0........0
..1.2......1.2......1.2......1.2......1.2......1.2......1.2......1.2
..3.4.1....3.4.1....3.4.5....3.0.4....3.0.4....3.4.1....3.4.0....3.4.5
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..84