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A260836 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101 1

%I #4 Aug 01 2015 06:11:10

%S 188,288,700,1224,1560,3470,6908,10070,18716,39478,64940,111162,

%T 228324,409632,690964,1345662,2532216,4354216,8095220,15462342,

%U 27373920,49529004,94027168,170716994,306172260,572849570,1056328308,1900057106

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101

%C Column 3 of A260841

%H R. H. Hardin, <a href="/A260836/b260836.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-3) +6*a(n-4) -9*a(n-6) -16*a(n-7) -10*a(n-8) +4*a(n-9) +7*a(n-10) +6*a(n-12) +8*a(n-14) +10*a(n-15) +2*a(n-16) +4*a(n-17) +4*a(n-19) +3*a(n-20) +2*a(n-22) for n>24

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A260841

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 01 2015

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)