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A261262 Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101. 1

%I #4 Aug 13 2015 06:37:47

%S 321,418,1483,4350,11733,28540,85617,217484,628033,1580858,4617302,

%T 11652770,33898865,85532220,249024281,628631908,1828906789,4618358508,

%U 13433388869,33933688612,98664937854,249321005374,724680771669

%N Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.

%C Column 5 of A261265.

%H R. H. Hardin, <a href="/A261262/b261262.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-2) +26*a(n-4) +a(n-5) +42*a(n-6) -2*a(n-7) +7*a(n-8) -8*a(n-9) -52*a(n-10) +13*a(n-11) -40*a(n-12) -25*a(n-13) +33*a(n-14) -14*a(n-15) +11*a(n-16) +17*a(n-17) +14*a(n-18) -7*a(n-19) -14*a(n-20) +12*a(n-21) -10*a(n-23) +4*a(n-25) for n>28

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261265.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 13 2015

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)