%I #16 Mar 18 2024 12:33:38
%S 1,1,9,41,143,442,1260,3113,7331,15969,32737,63942,120318,216392,
%T 377902,640970,1055829,1699241,2679576,4132842,6267048,9345121,
%U 13712218,19841970,28343579,39963063,55722233,76873873,104958237,141966994,190366323,253040267,333758897
%N Number of n X 6 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="/A201275/b201275.txt">Table of n, a(n) for n = 0..200</a> (terms n = 1..101 from R. H. Hardin)
%e Some solutions for n=5:
%e 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1
%e 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1
%e 0 1 1 1 2 2 0 0 1 1 1 1 0 1 1 1 1 2 0 1 1 1 1 2
%e 0 1 1 1 2 2 0 2 2 2 2 2 1 1 1 2 2 2 0 1 2 2 2 2
%e 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2
%Y Column 6 of A201277.
%K nonn
%O 0,3
%A _R. H. Hardin_, Nov 29 2011
%E a(0)=1 prepended by _Alois P. Heinz_, Mar 18 2024