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A301820 Number of nX5 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 27 2018 10:11:39

%S 3,18,74,299,1197,4785,19130,76499,305959,1223777,4895020,19579955,

%T 78319649,313278369,1253113182,5012452355,20049808955,80199235249,

%U 320796940304,1283187760387,5132751040565,20531004161105,82124016643074

%N Number of nX5 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301823.

%H R. H. Hardin, <a href="/A301820/b301820.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -22*a(n-2) +28*a(n-3) -17*a(n-4) +4*a(n-5) for n>7

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301823.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2018

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Last modified April 23 13:11 EDT 2024. Contains 371913 sequences. (Running on oeis4.)