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A260604 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101 1

%I #4 Jul 29 2015 22:38:56

%S 125,250,610,1334,3343,7516,19069,42696,108592,244492,620922,1394188,

%T 3543940,7964144,20236020,45470332,115549194,259609220,659718394,

%U 1482402604,3766971094,8463829616,21508165126,48327274404,122806995718

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010001 or 00010101

%C Column 3 of A260609

%H R. H. Hardin, <a href="/A260604/b260604.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +14*a(n-4) +9*a(n-6) -25*a(n-8) +136*a(n-10) -65*a(n-12) -59*a(n-14) +111*a(n-16) -55*a(n-18) +22*a(n-20) -32*a(n-22) +18*a(n-24) for n>29

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260609

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 29 2015

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Last modified April 19 18:00 EDT 2024. Contains 371797 sequences. (Running on oeis4.)