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A261263 Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101. 1

%I #4 Aug 13 2015 06:38:33

%S 586,758,2948,10382,28540,85506,274100,842884,2548286,7832046,

%T 24162204,74075530,226969292,697051096,2140551114,6567905552,

%U 20155238082,61868865174,189897012544,582806503534,1788751262356,5490189574614

%N Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00100101 or 01010101.

%C Column 6 of A261265.

%H R. H. Hardin, <a href="/A261263/b261263.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +10*a(n-3) +17*a(n-4) +24*a(n-5) +32*a(n-6) +27*a(n-7) +9*a(n-8) -25*a(n-9) -42*a(n-10) +24*a(n-11) +115*a(n-12) +42*a(n-13) -51*a(n-14) -85*a(n-15) -105*a(n-16) +63*a(n-17) +187*a(n-18) -47*a(n-19) -169*a(n-20) +53*a(n-21) +83*a(n-22) -31*a(n-23) -7*a(n-24) +15*a(n-25) -19*a(n-26) +8*a(n-28) -5*a(n-29) +3*a(n-30) -a(n-31) for n>36

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A261265.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 13 2015

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Last modified August 6 09:24 EDT 2024. Contains 374965 sequences. (Running on oeis4.)