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Number of nX6 nonnegative integer arrays each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it) and the lower right element equal to min(n,6)-1
1

%I #5 Mar 31 2012 12:36:51

%S 1,16,406,10296,97794,44976,182593546,171227525652,82937584072426,

%T 28117713663244916,7789814305950338052,1924690312553582114842,

%U 446311604380789427924132,100047008743872523216459380

%N Number of nX6 nonnegative integer arrays each row and column an ascent sequence (interior element no greater than one plus up-steps preceding it) and the lower right element equal to min(n,6)-1

%C Column 6 of A202735

%H R. H. Hardin, <a href="/A202733/b202733.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 23 2011