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A262268
Number of (n+2) X (2+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.
1
4, 16, 49, 169, 676, 2704, 10609, 42025, 168100, 672400, 2686321, 10738729, 42954916, 171819664, 687226225, 2748800041, 10995200164, 43980800656, 175922363761, 703687777321, 2814751109284, 11259004437136, 45036004326769
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) - 12*a(n-2) + 24*a(n-3) - 31*a(n-4) - 6*a(n-5) + 12*a(n-6) - 24*a(n-7) + 32*a(n-8).
Empirical g.f.: x*(4 - 8*x + x^2 - 29*x^3 - 10*x^4 + 20*x^5 + 8*x^6 + 32*x^7) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 4*x)*(1 + x^2)*(1 + 4*x^2)). - Colin Barker, Dec 31 2018
EXAMPLE
Some solutions for n=4:
..1..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..1..0..1
..1..0..1..0....1..1..1..1....1..0..1..0....1..1..1..1....1..0..1..0
..0..1..0..1....0..1..0..1....1..1..1..1....0..0..0..0....1..1..1..1
..0..1..0..1....1..1..1..1....0..0..0..0....1..1..1..1....0..1..0..1
..1..0..1..0....0..1..0..1....0..1..0..1....0..0..0..0....0..0..0..0
..0..1..0..1....0..0..0..0....1..0..1..0....0..0..0..0....1..1..1..1
CROSSREFS
Column 2 of A262274.
Sequence in context: A283692 A173712 A085697 * A231156 A271483 A223659
KEYWORD
nonn
AUTHOR
R. H. Hardin, Sep 17 2015
STATUS
approved