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A259955 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001. 1

%I #8 Dec 27 2018 11:59:02

%S 34,67,155,353,808,1884,4340,9925,22799,52515,120848,277830,638728,

%T 1468871,3378335,7769445,17866796,41087200,94488464,217296769,

%U 499716771,1149192279,2642787772,6077609506,13976655996,32142038875,73916854091

%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00001001.

%H R. H. Hardin, <a href="/A259955/b259955.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 3*a(n-3) + 5*a(n-4) + 6*a(n-5) + 6*a(n-6) + 2*a(n-7) for n>8.

%F Empirical g.f.: x*(34 + 33*x + 88*x^2 + 96*x^3 + 84*x^4 + 72*x^5 + 16*x^6 - 4*x^7) / (1 - x - 3*x^3 - 5*x^4 - 6*x^5 - 6*x^6 - 2*x^7). - _Colin Barker_, Dec 27 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 1 of A259962.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 10 2015

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Last modified April 24 02:46 EDT 2024. Contains 371917 sequences. (Running on oeis4.)