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A261550 Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011. 1

%I #4 Aug 24 2015 10:57:45

%S 170,269,516,754,1210,2187,3436,5368,9414,14902,22538,38820,62948,

%T 95896,161958,263965,405226,675457,1107300,1715143,2825384,4636573,

%U 7238868,11834981,19424306,30536389,49628386,81354986,128648034,208252970

%N Number of (n+2)X(3+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000101 or 00001011.

%C Column 3 of A261553.

%H R. H. Hardin, <a href="/A261550/b261550.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-6) +4*a(n-7) +14*a(n-9) +12*a(n-10) +2*a(n-11) +9*a(n-12) +4*a(n-13) +12*a(n-14) -16*a(n-16) +24*a(n-17) -4*a(n-18) -24*a(n-19) +22*a(n-20) -16*a(n-22) +12*a(n-23) for n>30

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261553.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2015

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)