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A298920 Number of n X 4 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #6 Sep 04 2022 13:19:04

%S 1,8,2,3,7,6,9,20,22,35,59,90,145,240,378,611,991,1598,2585,4188,6766,

%T 10947,17715,28658,46369,75032,121394,196419,317815,514230,832041,

%U 1346276,2178310,3524579,5702891,9227466,14930353,24157824,39088170

%N Number of n X 4 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298924.

%H R. H. Hardin, <a href="/A298920/b298920.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A298924.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 29 2018

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Last modified August 10 00:01 EDT 2024. Contains 375044 sequences. (Running on oeis4.)