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A202200 Number of (n+2) X 8 binary arrays avoiding patterns 001 and 101 in rows and columns. 1
1728, 7680, 26400, 76032, 192192, 439296, 926640, 1830400, 3422848, 6110208, 10480704, 17364480, 27907200, 43659264, 66682704, 99677952, 146132800, 210496000, 298378080, 416782080, 574367040, 781747200, 1051830000, 1400196096 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A202202.

LINKS

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

FORMULA

Empirical: a(n) = (n+8)*(n+7)*(n+6)*(n+5)*(n+4)*(n+3)*(n+2)^2/315.

Conjectures from Colin Barker, May 27 2018: (Start)

G.f.: 16*x*(108 - 492*x + 1218*x^2 - 1890*x^3 + 1932*x^4 - 1308*x^5 + 567*x^6 - 143*x^7 + 16*x^8) / (1 - x)^9.

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9) for n>9.

(End)

EXAMPLE

Some solutions for n=2:

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

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

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

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

CROSSREFS

Cf. A202202.

Sequence in context: A305475 A202458 A179694 * A251188 A323560 A223236

Adjacent sequences:  A202197 A202198 A202199 * A202201 A202202 A202203

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 14 2011

STATUS

approved

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Last modified March 20 13:18 EDT 2019. Contains 321345 sequences. (Running on oeis4.)