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A301321 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Mar 18 2018 08:31:14

%S 32,383,735,1709,3649,7600,15802,33150,70311,150532,324443,702447,

%T 1525146,3317041,7221520,15731216,34280366,74716439,162869203,

%U 355053284,774048171,1687544827,3679181851,8021454454,17488766770,38130129567

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301323.

%H R. H. Hardin, <a href="/A301321/b301321.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -8*a(n-2) +4*a(n-3) +2*a(n-7) -2*a(n-8) -3*a(n-9) +5*a(n-10) -a(n-11) -a(n-12) -a(n-14) +a(n-15) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301323.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 18 2018

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Last modified September 15 19:05 EDT 2024. Contains 375954 sequences. (Running on oeis4.)