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A224738 Number of (n+1) X 2 0..1 matrices with each 2 X 2 permanent equal. 1
16, 38, 89, 218, 538, 1349, 3410, 8690, 22273, 57362, 148274, 384389, 998746, 2599562, 6775361, 17677370, 46158442, 120601349, 315252386, 824369378, 2156282881, 5641333538, 14761426274, 38630362373, 101104495018, 264632791034 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) - 6*a(n-2) - 3*a(n-3) + 7*a(n-4) - 2*a(n-5).
Empirical g.f.: x*(16 - 42*x - 5*x^2 + 49*x^3 - 16*x^4) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x + x^2)). - Colin Barker, Sep 05 2018
EXAMPLE
Some solutions for n=3:
..1..0....1..0....0..1....1..1....1..0....0..0....1..0....0..1....0..0....0..1
..1..1....0..1....0..0....1..0....1..0....0..1....0..1....1..1....0..0....0..0
..1..0....1..1....0..0....1..1....1..0....0..0....1..1....0..1....0..0....1..0
..0..1....1..0....1..1....1..0....1..0....0..1....0..1....1..0....1..1....0..0
CROSSREFS
Column 1 of A224745.
Sequence in context: A224745 A070586 A166112 * A304014 A230828 A122030
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 17 2013
STATUS
approved

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Last modified June 19 06:35 EDT 2024. Contains 373492 sequences. (Running on oeis4.)