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A202791 Number of nX4 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically 1

%I #5 Mar 31 2012 12:36:52

%S 7,188,3018,45519,702846,10892633,168585867,2608652667,40368680378,

%T 624709738658,9667409438049,149603458151594,2315118684227671,

%U 35826543150768395,554417008884929693,8579622591285149046

%N Number of nX4 binary arrays with every one adjacent to another one horizontally, diagonally, antidiagonally or vertically

%C Column 4 of A202795

%H R. H. Hardin, <a href="/A202791/b202791.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) -6*a(n-2) +199*a(n-3) +124*a(n-4) -102*a(n-5) +105*a(n-6) -282*a(n-7) -342*a(n-8) +162*a(n-9)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 24 2011

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)