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A184757 Half the number of n X 5 binary arrays with no 1 having an adjacent 1 both above and to its left. 1

%I #9 Apr 14 2018 13:11:19

%S 16,317,6847,145778,3110914,66363023,1415755252,30202770902,

%T 644326291402,13745636657969,293240447607511,6255800447755343,

%U 133457166530876185,2847088145920628222,60737921547191898319,1295743203159170280830

%N Half the number of n X 5 binary arrays with no 1 having an adjacent 1 both above and to its left.

%C Column 5 of A184761.

%H R. H. Hardin, <a href="/A184757/b184757.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 13*a(n-1) + 150*a(n-2) + 550*a(n-3) + 889*a(n-4) + 434*a(n-5) - 228*a(n-6) + 32*a(n-7).

%F Empirical g.f.: x*(16 + 109*x + 326*x^2 + 417*x^3 + 176*x^4 - 166*x^5 + 40*x^6) / (1 - 13*x - 150*x^2 - 550*x^3 - 889*x^4 - 434*x^5 + 228*x^6 - 32*x^7). - _Colin Barker_, Apr 14 2018

%e Some solutions for 3 X 5:

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

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

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

%Y Cf. A184761.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2011

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Last modified August 13 20:30 EDT 2024. Contains 375144 sequences. (Running on oeis4.)