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 A250454 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 9

%I

%S 44,217,217,1000,2029,1000,4535,17024,17024,4535,20242,141857,258377,

%T 141857,20242,89677,1155519,3865967,3865967,1155519,89677,395240,

%U 9376751,56575618,104578590,56575618,9376751,395240,1736779,75647740,822755006

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

%C Table starts

%C .......44.........217...........1000..............4535................20242

%C ......217........2029..........17024............141857..............1155519

%C .....1000.......17024.........258377...........3865967.............56575618

%C .....4535......141857........3865967.........104578590...........2750712613

%C ....20242.....1155519.......56575618........2750712613.........130213746897

%C ....89677.....9376751......822755006.......71984404630........6120328131599

%C ...395240....75647740....11894220206.....1868402502223......285429015596551

%C ..1736779...609534839...171683275444....48446319776685....13286357317725708

%C ..7617286..4903892459..2474382329697..1253388924506698...617196231962925214

%C .33369545.39438538201.35650926095264.32426207385598948.28662266869756914003

%H R. H. Hardin, <a href="/A250454/b250454.txt">Table of n, a(n) for n = 1..332</a>

%F Empirical for column k:

%F k=1: a(n) = 6*a(n-1) -3*a(n-2) -20*a(n-3) +6*a(n-4) +12*a(n-5)

%F k=2: [order 11]

%F k=3: [order 25]

%F k=4: [order 50]

%F k=5: [order 99]

%e Some solutions for n=2 k=4

%e ..1..0..1..0..2....0..1..0..2..0....0..1..1..1..1....0..0..1..0..1

%e ..0..0..0..0..1....2..0..0..0..0....1..1..2..1..2....1..0..0..0..2

%e ..2..0..2..2..2....0..0..0..0..2....1..1..1..2..1....0..1..2..1..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Nov 23 2014

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Last modified December 8 05:35 EST 2021. Contains 349590 sequences. (Running on oeis4.)