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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 21 00:14 EDT 2021. Contains 347596 sequences. (Running on oeis4.)