[seqfan] Binary arrays with primes in rows and columns

[Ron Hardin]

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column prime, read as a binary number with top and leftbeing the most significant bits

Table starts
....2.....4.....0......11.......0.......31........0.......0.......0.....0
....4....20....19.....100.....165......353......885....3548....8661.21544
....0....19....19......99.....138......197......380....2580....5892.10199
...11...100....99....2673....4797....53564...174125.1264975.5828759......
....0...165...138....4797....7014....82711...229036.1430550..............
...31...353...197...53564...82711..8124875.25084172......................
....0...885...380..174125..229036.25084172...............................
....0..3548..2580.1264975.1430550........................................
....0..8661..5892.5828759................................................
....0.21544.10199........................................................
....0.78052..............................................................
.1028....................................................................

All.solutions.for.n=k=3..
..0..0..1..0....0..1..0..1....0..0..1..0....1..0..1..1....0..0..1..0..
..0..0..1..0....1..1..0..1....0..1..1..1....0..0..1..0....0..0..1..1..
..1..1..0..1....0..0..1..0....1..1..0..1....1..1..0..1....1..1..0..1..
..1..0..1..1....1..1..0..1....0..1..1..1....1..0..1..1....0..0..1..1..
..
..0..0..1..1....0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..1..
..0..0..1..0....0..0..1..1....0..0..1..0....1..0..1..1....0..0..1..0..
..1..1..0..1....1..1..0..1....1..1..0..1....1..1..0..1....1..1..0..1..
..0..1..1..1....1..0..1..1....0..1..1..1....1..0..1..1....1..0..1..1..
..
..1..1..0..1....0..1..0..1....0..0..1..0....0..0..1..0....0..0..1..1..
..1..1..0..1....0..0..1..0....0..1..0..1....0..0..1..0....0..0..1..0..
..0..0..1..0....1..1..0..1....1..0..1..1....1..1..0..1....1..1..0..1..
..1..1..0..1....0..1..1..1....0..1..1..1....0..0..1..1....0..0..1..1..
..
..0..1..1..1....0..0..1..0....0..0..1..0....0..0..1..0..
..0..0..1..0....0..0..1..1....0..0..1..0....1..0..1..1..
..1..1..0..1....1..1..0..1....1..1..0..1....0..1..0..1..
..0..1..1..1....0..1..1..1....0..0..1..0....1..0..1..1..
provisional, not yet checked a second way.
 rhhardin at mindspring.com
rhhardin at att.net (either)