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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

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Last modified January 23 01:30 EST 2020. Contains 331166 sequences. (Running on oeis4.)