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A260363 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111. 1

%I #8 Dec 29 2018 07:08:18

%S 48,78,208,436,616,1378,2880,4904,9776,19458,35928,70096,136184,

%T 257558,498984,963740,1839600,3547926,6837184,13109580,25236616,

%U 48572826,93304016,179507232,345319152,663776330,1276734024,2455611208,4721490968

%N Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00001111.

%H R. H. Hardin, <a href="/A260363/b260363.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: 2*x*(24 + 15*x + 89*x^2 + 33*x^3 + 23*x^4 - 2*x^5 - 50*x^6) / (1 - x + x^2 - 5*x^3 + x^4 - 5*x^5 + 3*x^6 + x^7). - _Colin Barker_, Dec 29 2018

%e Some solutions for n=4:

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

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

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

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

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

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

%Y Column 1 of A260370.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 23 2015

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)