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Number of n X 5 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
2

%I #12 Mar 18 2024 08:44:26

%S 1,3,16,21,199,556,442,2827,5680,3651,19960,35039,19820,96084,151800,

%T 78205,354360,525467,255143,1089594,1531163,707770,2908481,3937393,

%U 1758805,6976823,9145189,3964264,15328243,19618905,8309214,31406219,39327693,16320584,60602426

%N Number of n X 5 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%H Alois P. Heinz, <a href="/A201274/b201274.txt">Table of n, a(n) for n = 0..200</a> (terms n = 1..141 from R. H. Hardin)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Column 5 of A201277.

%K nonn

%O 0,2

%A _R. H. Hardin_, Nov 29 2011

%E a(0)=1 prepended by _Alois P. Heinz_, Mar 18 2024