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Number of n X 5 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Oct 30 2022 15:40:55

%S 3,146,760,6110,40395,292781,2043848,14419536,101511446,713030990,

%T 5019470018,35283108018,248180957058,1745222920651,12274305388046,

%U 86321053540385,607085317234430,4269538885720366,30026989609915629

%N Number of n X 5 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A302224.

%H R. H. Hardin, <a href="/A302221/b302221.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A302221/a302221.txt">Empirical recurrence of order 92</a>

%F Empirical recurrence of order 92 (see link above).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302224.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 03 2018