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A228794 Number of n X 6 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se. 1

%I #13 Sep 13 2018 06:07:41

%S 8,98,1394,19474,272952,3835792,53992646,760460212,10712702564,

%T 150919221210,2126162067336,29953658576896,421991631840838,

%U 5945083016219492,83755250133013716,1179956956524018202

%N Number of n X 6 binary arrays with top left element equal to 1 and no two ones adjacent horizontally or nw-se.

%H R. H. Hardin, <a href="/A228794/b228794.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) - 112*a(n-2) + 217*a(n-3) - 157*a(n-4) + 36*a(n-5) for n>7.

%F Empirical g.f.: 2*x*(4 - 35*x + 116*x^2 - 280*x^3 + 58*x^4 - 1256*x^5 + 555*x^6) / (1 - 21*x + 112*x^2 - 217*x^3 + 157*x^4 - 36*x^5). - _Colin Barker_, Sep 13 2018

%e Some solutions for n=4:

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

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

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

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

%Y Column 6 of A228796.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 04 2013

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)