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A203085 Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns 1
253, 787, 2237, 6615, 19723, 57699, 169561, 500813, 1473813, 4336509, 12776787, 37624405, 110768047, 326202095, 960592477, 2828495527, 8329036847, 24526561909, 72221962493, 212669436487, 626242809531, 1844074518231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A203091

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +2*a(n-2) +10*a(n-3) +6*a(n-4) -5*a(n-5) -10*a(n-6) -8*a(n-7) +2*a(n-8) +10*a(n-9) -24*a(n-10) -20*a(n-11) +23*a(n-12) +22*a(n-13) -10*a(n-14)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A002289 A158078 A157356 * A245790 A070193 A054737

Adjacent sequences:  A203082 A203083 A203084 * A203086 A203087 A203088

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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Last modified July 13 16:22 EDT 2020. Contains 335688 sequences. (Running on oeis4.)