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A185743 Number of (n+1)X3 binary arrays with every 2X2 subblock trace equal to some horizontal or vertical neighbor 2X2 subblock trace 1
24, 104, 544, 2568, 12656, 62112, 304584, 1494072, 7329384, 35956128, 176387688, 865292240, 4244818752, 20823589768, 102153153752, 501127152040, 2458352367520, 12059806395016, 59161139750576, 290223601800928 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A185750

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=5*a(n-1)-4*a(n-2)+17*a(n-3)+2*a(n-4)-2*a(n-5)+18*a(n-7)-4*a(n-8)-30*a(n-9)-8*a(n-10)-24*a(n-11)

EXAMPLE

Some solutions for 5X3

..0..0..0....0..0..0....1..1..1....1..1..0....1..1..1....1..1..1....1..1..0

..0..1..1....0..0..0....0..0..0....1..0..0....1..1..1....1..1..1....1..0..0

..0..1..0....0..0..0....0..0..0....0..0..0....1..1..1....0..0..0....0..0..1

..0..0..0....0..0..0....1..1..1....0..0..0....1..1..1....0..0..0....0..0..0

..0..0..1....1..1..1....1..0..0....1..0..0....0..1..1....0..1..1....1..1..1

CROSSREFS

Sequence in context: A268804 A186932 A275506 * A027265 A044275 A044656

Adjacent sequences:  A185740 A185741 A185742 * A185744 A185745 A185746

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 01 2011

STATUS

approved

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Last modified July 6 02:58 EDT 2022. Contains 355108 sequences. (Running on oeis4.)