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Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.
1

%I #9 Oct 03 2025 09:06:29

%S 1,13,122,1751,24779,326650,3826202,39589830,364013320,3005372641,

%T 22522846792,154739772302,983097718721,5818909235791,32292922468841,

%U 168956847012130,837348841763554,3947230438308504,17762594565022972

%N Number of nX6 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

%C Column 6 of A201384

%H R. H. Hardin, <a href="/A201382/b201382.txt">Table of n, a(n) for n = 1..90</a>

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 30 2011