A278553 T(n,k)=Number of nXk 0..3 arrays with rows and columns in lexicographic nondecreasing order but with exactly two mistakes.

0, 0, 0, 4, 70, 4, 65, 1531, 1531, 65, 456, 25402, 124564, 25402, 456, 2128, 385040, 6207774, 6207774, 385040, 2128, 7728, 4880813, 256173362, 1116456061, 256173362, 4880813, 7728, 23607, 50476458, 9647190761, 157222953688, 157222953688

Offset

1,4

Comments

Table starts

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

.....0........70..........1531..............25402.................385040

.....4......1531........124564............6207774..............256173362

....65.....25402.......6207774.........1116456061...........157222953688

...456....385040.....256173362.......157222953688.........81144920762300

..2128...4880813....9647190761.....19154084929099......35461508433808988

..7728..50476458..327443433750...2139517647414832...13763018389926177995

.23607.435272199.9777854836324.221564412439675221.4934142560387144138930

Links

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

Formula

Empirical for column k:

k=1: [polynomial of degree 11]

k=2: [polynomial of degree 47]

k=3: [polynomial of degree 191]

Example

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

Crossrefs

Sequence in context: A093852 A065573 A308294 * A101841 A274873 A281654

Adjacent sequences: A278550 A278551 A278552 * A278554 A278555 A278556

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 23 2016

Status

approved