A278435 T(n,k)=Number of nXk 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly one mistake.

0, 6, 6, 40, 100, 40, 155, 1609, 1609, 155, 456, 19624, 57760, 19624, 456, 1128, 178352, 2116789, 2116789, 178352, 1128, 2472, 1287838, 67971132, 223202074, 67971132, 1287838, 2472, 4950, 7795151, 1796061464, 23450120081, 23450120081, 1796061464

Offset: 1

Author

R. H. Hardin, Nov 22 2016

Keywords

• nonn
• tabl

Comments

Table starts

....0.......6.........40...........155..............456................1128

....6.....100.......1609.........19624...........178352.............1287838

...40....1609......57760.......2116789.........67971132..........1796061464

..155...19624....2116789.....223202074......23450120081.......2266913897519

..456..178352...67971132...23450120081....7817299555828....2573951428892959

.1128.1287838.1796061464.2266913897519.2573951428892959.2817080307689646420

Examples

			Some solutions for n=3 k=4
..0..0..0..3. .0..0..2..0. .0..0..2..2. .0..0..1..3. .0..0..0..1
..1..1..3..0. .0..1..0..0. .0..2..3..0. .1..3..2..1. .1..1..3..0
..0..3..3..0. .0..1..3..2. .0..3..2..1. .0..3..0..1. .0..2..2..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Crossrefs

Column 1 is A001919(n+1).

Formula

Empirical for column k:

k=1: [polynomial of degree 7]

k=2: [polynomial of degree 31]

k=3: [polynomial of degree 127]