A203870 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

205, 1648, 1648, 10077, 21635, 10077, 55848, 210190, 210190, 55848, 280509, 1605552, 2935262, 1605552, 280509, 1322098, 10500903, 31521422, 31521422, 10500903, 1322098, 5914273, 59962757, 269967062, 443416660, 269967062

Offset

1,1

Comments

Table starts

......205.......1648.......10077.........55848.........280509.........1322098

.....1648......21635......210190.......1605552.......10500903........59962757

....10077.....210190.....2935262......31521422......269967062......1959924899

....55848....1605552....31521422.....443416660.....4868641840.....43601076951

...280509...10500903...269967062....4868641840....66135356129....721851243868

..1322098...59962757..1959924899...43601076951...721851243868...9455280188061

..5914273..309154358.12355307346..332477439628..6583402402582.102773744858440

.25415265.1459797487.69538725100.2212638198898.51842308069669.955896356158916

Links

R. H. Hardin, Table of n, a(n) for n = 1..160

Example

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

Crossrefs

Sequence in context: A260471 A249703 A015974 * A203863 A203896 A203889

Adjacent sequences: A203867 A203868 A203869 * A203871 A203872 A203873

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2012

Status

approved