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A204833 Number of (n+1) X 2 0..2 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. 1
56, 132, 318, 804, 2048, 5304, 13786, 36074, 94630, 249116, 657120, 1737412, 4601434, 12208078, 32435606, 86299392, 229889712, 613103960, 1636797162, 4373968322, 11698648166, 31314844564, 83885825808, 224868555948 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204840.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 4*a(n-1) + 8*a(n-2) - 41*a(n-3) - 21*a(n-4) + 152*a(n-5) + 18*a(n-6) - 237*a(n-7) + 12*a(n-8) + 130*a(n-9) - 24*a(n-10).

Empirical g.f.: 2*x*(28 - 46*x - 329*x^2 + 386*x^3 + 1438*x^4 - 1011*x^5 - 2622*x^6 + 955*x^7 + 1599*x^8 - 326*x^9) / ((1 - x)*(1 - 2*x^2)*(1 - x - 3*x^2)*(1 - x - 4*x^2)*(1 - x - 5*x^2 + x^3)). - Colin Barker, Jun 10 2018

EXAMPLE

Some solutions for n=4:

  2 2   0 2   0 1   0 2   2 2   2 1   1 2   2 2   2 2   0 1

  0 1   1 2   2 2   2 0   1 0   2 1   1 1   0 1   0 1   2 1

  2 0   1 0   0 1   2 2   0 2   0 2   1 2   2 2   2 2   2 0

  0 1   2 2   2 2   0 2   1 1   2 1   1 1   0 1   0 1   0 1

  2 2   0 1   0 1   2 1   0 2   2 1   2 1   2 1   2 2   2 1

CROSSREFS

Cf. A204840.

Sequence in context: A306935 A253418 A204840 * A121736 A107937 A044307

Adjacent sequences:  A204830 A204831 A204832 * A204834 A204835 A204836

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 19 2012

STATUS

approved

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Last modified October 14 12:45 EDT 2019. Contains 328006 sequences. (Running on oeis4.)