

A278435


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


6



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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



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



