OFFSET
1,1
COMMENTS
Table starts
.....4.........16.............64................256...................1024
....16........256...........4096..............65536................1048576
....64.......4096.........204800...........10240000..............512000000
...256......65536.......10240000.........1331200000...........173056000000
..1024....1048576......512000000.......173056000000.........51224576000000
..4096...16777216....25600000000.....22497280000000......15162474496000000
.16384..268435456..1280000000000...2924646400000000....4488092450816000000
.65536.4294967296.64000000000000.380204032000000000.1328475365441536000000
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..1000
FORMULA
Let U(z) = (z^6+15*z^5+115*z^4+405*z^3+964*z^2+660*z+720)/720
T(n,k) = U(min(n,k))^(max(n,k)-min(n,k)+1) * product{ U(i)^2 , i=1..(min(n,k)-1) }
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..1....0..0..3..3....0..0..0..3....0..0..0..0....0..0..3..2
..0..2..2..2....0..3..2..2....0..2..3..2....0..3..1..1....0..1..0..2
..0..2..3..3....1..1..0..2....0..2..0..0....1..1..1..3....0..0..0..0
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 22 2013
STATUS
approved