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A295116 Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s. 1

%I #4 Nov 15 2017 06:17:42

%S 4,20,77,326,1373,5793,24347,102398,431050,1813753,7631302,32111207,

%T 135119039,568549155,2392325744,10066404116,42357266765,178230161368,

%U 749953993371,3155644584471,13278270334423,55872091215736

%N Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s.

%C Column 4 of A295120.

%H R. H. Hardin, <a href="/A295116/b295116.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-2) +22*a(n-3) +43*a(n-4) +52*a(n-5) +35*a(n-6) +35*a(n-7) +21*a(n-8) +14*a(n-9) +6*a(n-10) +9*a(n-11) -7*a(n-12) -a(n-14)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A295120.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2017

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Last modified April 23 09:22 EDT 2024. Contains 371905 sequences. (Running on oeis4.)