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A203084 Number of (n+2) X 3 binary arrays avoiding patterns 000 and 101 in rows and columns. 2
98, 253, 621, 1575, 4000, 10057, 25384, 64140, 161819, 408415, 1031041, 2602296, 6568305, 16579362, 41847510, 105626421, 266611217, 672949667, 1698582936, 4287374163, 10821707646, 27314936026, 68945297129, 174023973205 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A203091.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) + a(n-2) + 6*a(n-3) + 2*a(n-4) + 3*a(n-5) - a(n-6) - a(n-8) - a(n-9) - a(n-10).

Empirical g.f.: x*(98 + 155*x + 270*x^2 + 113*x^3 + 90*x^4 - 44*x^5 - 26*x^6 - 61*x^7 - 53*x^8 - 36*x^9) / (1 - x - x^2 - 6*x^3 - 2*x^4 - 3*x^5 + x^6 + x^8 + x^9 + x^10). - Colin Barker, Mar 03 2018

EXAMPLE

Some solutions for n=3:

  1 0 0    1 1 0    1 1 0    0 1 0    0 0 1    1 1 1    1 0 0

  1 1 0    1 1 0    1 1 1    1 0 0    1 1 1    1 1 0    1 1 0

  1 1 1    1 1 1    1 1 1    0 0 1    1 0 0    1 1 0    0 1 1

  1 1 1    0 1 1    1 1 1    0 1 1    1 0 0    0 1 1    0 1 1

  0 1 0    0 0 1    0 1 0    1 1 0    0 1 1    0 0 1    1 0 0

CROSSREFS

Cf. A203091.

Sequence in context: A063369 A038863 A203091 * A202378 A202371 A195751

Adjacent sequences:  A203081 A203082 A203083 * A203085 A203086 A203087

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 29 2011

STATUS

approved

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)