login
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.
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 28 2016
STATUS
approved