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A228795 Number of nX7 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. 1

%I #8 Sep 07 2013 13:48:02

%S 13,240,5223,111966,2404290,51557716,1104367784,23641626212,

%T 505993241296,10828817788952,231743779512528,4959437834349136,

%U 106134373970906624,2271325959440419296,48607446692414050880,1040222244289865070400

%N Number of nX7 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.

%C Column 7 of A228796

%H R. H. Hardin, <a href="/A228795/b228795.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 34*a(n-1) -324*a(n-2) +1264*a(n-3) -2236*a(n-4) +1816*a(n-5) -624*a(n-6) +64*a(n-7) for n>10

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 04 2013

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Last modified April 24 13:41 EDT 2024. Contains 371957 sequences. (Running on oeis4.)