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A260973 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101. 1

%I #7 Dec 29 2018 08:17:46

%S 48,91,204,483,1146,2755,6526,15419,36518,86831,206258,489087,1159490,

%T 2751195,6530006,15494419,36755918,87199191,206899498,490917751,

%U 1164739402,2763371171,6556331950,15555736875,36907711926,87566685887

%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00001001 or 00100101.

%H R. H. Hardin, <a href="/A260973/b260973.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) - 2*a(n-2) + 4*a(n-3) + 3*a(n-4) + 6*a(n-5) + 4*a(n-6) + 16*a(n-8) for n>9.

%F Empirical g.f.: x*(48 - 5*x + 118*x^2 + 65*x^3 + 80*x^4 + 52*x^5 + 26*x^6 + 256*x^7 - 208*x^8) / (1 - 2*x + 2*x^2 - 4*x^3 - 3*x^4 - 6*x^5 - 4*x^6 - 16*x^8). - _Colin Barker_, Dec 29 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 1 of A260980.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2015

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)