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

1,2

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

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 7]

k=2: [polynomial of degree 31]

k=3: [polynomial of degree 127]

Example

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

Crossrefs

Column 1 is A001919(n+1).

Sequence in context: A186982 A196075 A156099 * A279333 A278734 A279535

Adjacent sequences: A278432 A278433 A278434 * A278436 A278437 A278438

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 22 2016

Status

approved