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A204710 Number of (n+1) X 6 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. 1

%I #9 Jun 09 2018 06:49:30

%S 97,529,2689,14145,73345,382849,1992321,10382977,54072961,281700993,

%T 1467309697,7643513473,39814841985,207399103105,1080347897473,

%U 5627597738625,29314404685441,152700279978625,795423120883329

%N Number of (n+1) X 6 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero.

%C Column 5 of A204713.

%H R. H. Hardin, <a href="/A204710/b204710.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +15*a(n-2) -38*a(n-3) -52*a(n-4) +72*a(n-5).

%F Empirical g.f.: x*(97 + 141*x - 882*x^2 - 860*x^3 + 1576*x^4) / ((1 - x)*(1 + 2*x)*(1 - 5*x - 8*x^2 + 36*x^3)). - _Colin Barker_, Jun 09 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A204713.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 18 2012

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)