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A223568 Number of nX7 0..1 arrays with antidiagonals unimodal 2

%I #6 Mar 22 2013 18:17:37

%S 128,16384,1075648,45914176,1554251776,47016116224,1363467370496,

%T 39540553744384,1146676058587136,33253605699026944,964354565271781376,

%U 27966282392881659904,811022189393568137216,23519643492413475979264

%N Number of nX7 0..1 arrays with antidiagonals unimodal

%C Column 7 of A223569

%H R. H. Hardin, <a href="/A223568/b223568.txt">Table of n, a(n) for n = 1..210</a>

%F a(n) = product{ (1+(i*(i+1)/2))^2 , i=1..(min(n,7)-1) } * (1+(min(n,7)*(min(n,7)+1)/2))^(max(n,7)-min(n,7)+1)

%F a(n) = 29*a(n-1) for n>6

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 22 2013

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)