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Number of nX5 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Mar 28 2018 10:56:22

%S 8,35,125,510,1961,7869,31173,124795,497909,1992271,7963325,31857711,

%T 127402805,509641959,2038421709,8153897359,32614779749,130460538967,

%U 521837435069,2087359218591,8349408257621,33397695880743,133590605170989

%N Number of nX5 0..1 arrays with every element equal to 0, 1 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301884.

%H R. H. Hardin, <a href="/A301881/b301881.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +14*a(n-2) -34*a(n-3) -56*a(n-4) +120*a(n-5) +64*a(n-6) -128*a(n-7) for n>9

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301884.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 28 2018

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Last modified September 20 14:52 EDT 2024. Contains 376072 sequences. (Running on oeis4.)