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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

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

Adjacent sequences:  A262265 A262266 A262267 * A262269 A262270 A262271

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 17 2015

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)