A212036 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 at a city block distance of two, and containing the value n(n+1)/2-k-1

0, 0, 3, 0, 3, 10, 0, 0, 28, 31, 0, 0, 34, 338, 78, 0, 0, 34, 1651, 2440, 166, 0, 0, 34, 3967, 39901, 11859, 313, 0, 0, 0, 5395, 373930, 480914, 43943, 540, 0, 0, 0, 5587, 2083264, 12302859, 3668669, 134273, 871, 0, 0, 0, 5587, 7013146, 208868785, 203628239

Offset

1,3

Comments

Table starts

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

...3......3........0..........0..........0............0...........0........0

..10.....28.......34.........34.........34............0...........0........0

..31....338.....1651.......3967.......5395.........5587........5587.....5587

..78...2440....39901.....373930....2083264......7013146....14600674.20221402

.166..11859...480914...12302859..208868785...2413291634.19182609042

.313..43943..3668669..203628239.7959909333.226530521030

.540.134273.20431909.2132961900

Links

R. H. Hardin, Table of n, a(n) for n = 1..73

Example

Some solutions for n=4 k=4
..0........0........0........0........0........0........0........0
..1.2......1.2......0.1......0.1......1.2......1.2......1.2......1.2
..3.2.4....1.3.4....2.3.4....2.3.4....3.0.1....3.4.5....3.4.5....3.4.0
..5.6.7.7..2.3.0.5..5.5.1.0..5.6.1.3..2.0.4.5..3.1.0.4..0.6.1.4..5.5.3.1

Crossrefs

Sequence in context: A279977 A060533 A177785 * A191619 A327245 A157525

Adjacent sequences: A212033 A212034 A212035 * A212037 A212038 A212039

Keyword

nonn,tabl

Author

R. H. Hardin Apr 27 2012

Status

approved