A278798 T(n,k)=Number of nXk 0..3 arrays with rows in nondecreasing lexicographic order and columns in nonincreasing lexicographic order, but with exactly two mistakes.

0, 0, 0, 4, 44, 4, 65, 1713, 1713, 65, 456, 34348, 145208, 34348, 456, 2128, 468496, 7196852, 7196852, 468496, 2128, 7728, 4888659, 263134490, 1038462658, 263134490, 4888659, 7728, 23607, 41698446, 7804657491, 118098679534, 118098679534

Offset

1,4

Comments

Table starts

.....0..........0..............4..................65......................456

.....0.........44...........1713...............34348...................468496

.....4.......1713.........145208.............7196852................263134490

....65......34348........7196852..........1038462658.............118098679534

...456.....468496......263134490........118098679534...........44796204800108

..2128....4888659.....7804657491......11262497170744........14688350983557860

..7728...41698446...197112382716.....935318457135084......4251350673984802232

.23607..303361302..4361870602212...69345852411053594...1107217648453587546275

.63460.1938464178.86190316947578.4667384731526157594.263642550140680566002158

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Formula

Empirical for column k:

k=1: [polynomial of degree 11]

k=2: [polynomial of degree 44]

k=3: [polynomial of degree 173]

Example

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

Crossrefs

Column 1 is A278547.

Sequence in context: A220675 A222979 A284192 * A102388 A364680 A284065

Adjacent sequences: A278795 A278796 A278797 * A278799 A278800 A278801

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 28 2016

Status

approved