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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

%I #5 Mar 31 2012 12:36:58

%S 205,1648,1648,10077,21635,10077,55848,210190,210190,55848,280509,

%T 1605552,2935262,1605552,280509,1322098,10500903,31521422,31521422,

%U 10500903,1322098,5914273,59962757,269967062,443416660,269967062

%N 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

%C Table starts

%C ......205.......1648.......10077.........55848.........280509.........1322098

%C .....1648......21635......210190.......1605552.......10500903........59962757

%C ....10077.....210190.....2935262......31521422......269967062......1959924899

%C ....55848....1605552....31521422.....443416660.....4868641840.....43601076951

%C ...280509...10500903...269967062....4868641840....66135356129....721851243868

%C ..1322098...59962757..1959924899...43601076951...721851243868...9455280188061

%C ..5914273..309154358.12355307346..332477439628..6583402402582.102773744858440

%C .25415265.1459797487.69538725100.2212638198898.51842308069669.955896356158916

%H R. H. Hardin, <a href="/A203870/b203870.txt">Table of n, a(n) for n = 1..160</a>

%e Some solutions for n=4 k=3

%e ..0..0..4..4....1..3..4..4....1..4..2..3....2..0..3..4....1..1..2..4

%e ..2..4..4..4....4..4..4..4....3..2..4..3....0..4..4..4....4..4..4..4

%e ..3..4..4..4....4..4..4..4....1..4..3..4....1..4..4..4....4..4..4..4

%e ..3..4..4..4....4..4..4..4....4..3..4..3....4..4..4..4....4..4..4..4

%e ..3..4..4..4....4..4..4..4....3..4..3..4....4..4..4..4....4..4..4..4

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 07 2012

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Last modified March 1 18:30 EST 2024. Contains 370443 sequences. (Running on oeis4.)