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 A228753 Number of nX7 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally. 1

%I #7 Sep 03 2013 23:52:29

%S 13,289,6277,134440,2876170,61534448,1316714732,28177227352,

%T 602998827928,12904414518912,276160275058160,5909958226524512,

%U 126475877308730464,2706643227463513344,57923438257867988416,1239588830689830585216

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

%C Column 7 of A228754

%H R. H. Hardin, <a href="/A228753/b228753.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>9

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Sep 02 2013

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Last modified August 5 20:30 EDT 2024. Contains 374956 sequences. (Running on oeis4.)