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A261707 Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111. 1

%I #7 Nov 16 2021 21:30:27

%S 338,462,662,675,734,1443,1416,1486,2556,3004,3232,4244,7152,6998,

%T 7632,14546,15458,16486,25442,35466,36164,44018,77572,78884,85814,

%U 147948,177648,185492,258962,398694,405494,472392,818694,898300,962918,1509474

%N Number of (n+2) X (4+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000101 or 00000111.

%C Column 4 of A261709.

%H R. H. Hardin, <a href="/A261707/b261707.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-7) +5*a(n-10) +a(n-13) -a(n-14) -a(n-17) -2*a(n-21) for n>27.

%e Some solutions for n=7

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

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

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

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

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

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

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

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

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

%Y Cf. A261709.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2015

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Last modified July 19 00:30 EDT 2024. Contains 374388 sequences. (Running on oeis4.)