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A232024 Number of 2 X n 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. 1

%I #6 Sep 03 2022 23:06:30

%S 9,22,66,212,716,2447,8312,28118,95066,321480,1087248,3677451,

%T 12439185,42076051,142321098,481394558,1628298753,5507667897,

%U 18629517012,63013782841,213142264885,720947466146,2438583756862,8248438798128

%N Number of 2 X n 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors.

%C Row 2 of A232023.

%H R. H. Hardin, <a href="/A232024/b232024.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -36*a(n-2) +97*a(n-3) -202*a(n-4) +329*a(n-5) -437*a(n-6) +459*a(n-7) -407*a(n-8) +291*a(n-9) -161*a(n-10) +74*a(n-11) -4*a(n-12) +4*a(n-13) +15*a(n-14) +2*a(n-15) +3*a(n-16) +a(n-17) for n>18.

%e Some solutions for n=7

%e ..0..0..0..0..0..0..0....1..1..0..0..1..1..2....2..1..1..1..0..0..0

%e ..1..1..2..2..1..0..0....1..0..0..1..1..1..1....1..1..1..0..0..1..2

%Y Cf. A232023.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2013

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Last modified September 13 00:40 EDT 2024. Contains 375857 sequences. (Running on oeis4.)