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 A202528 Number of (n+2) X 6 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals 1

%I #8 Jun 01 2018 07:50:38

%S 890,2232,4669,9746,21297,45899,97936,210562,453068,972285,2087770,

%T 4485977,9635163,20693096,44448598,95473096,205062389,440453226,

%U 946055233,2032027019,4364582616,9374693066,20135896348,43249855813

%N Number of (n+2) X 6 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals

%C Column 4 of A202532.

%H R. H. Hardin, <a href="/A202528/b202528.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: x*(890 + 452*x + 205*x^2 - 1372*x^3 - 879*x^4 + 211*x^5 + 448*x^6 + 36*x^7) / ((1 - x)*(1 + x^2 - x^3)*(1 - x - 2*x^2 - x^3)). - _Colin Barker_, Jun 01 2018

%e Some solutions for n=3:

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

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

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

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

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

%Y Cf. A202532.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2011

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Last modified August 8 10:51 EDT 2024. Contains 375019 sequences. (Running on oeis4.)