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A202198 Number of (n+2) X 6 binary arrays avoiding patterns 001 and 101 in rows and columns. 1
756, 2688, 7560, 18144, 38808, 76032, 138996, 240240, 396396, 628992, 965328, 1439424, 2093040, 2976768, 4151196, 5688144, 7671972, 10200960, 13388760, 17365920, 22281480, 28304640, 35626500, 44461872, 55051164, 67662336, 82592928 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A202202.

LINKS

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

FORMULA

Empirical: a(n) = (n+6)*(n+5)*(n+4)*(n+3)*(n+2)^2/10.

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

G.f.: 12*x*(63 - 217*x + 385*x^2 - 399*x^3 + 245*x^4 - 83*x^5 + 12*x^6) / (1 - x)^7.

a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7.

(End)

EXAMPLE

Some solutions for n=3:

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

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

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

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

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

CROSSREFS

Cf. A202202.

Sequence in context: A252015 A108374 A252007 * A158657 A004010 A320686

Adjacent sequences:  A202195 A202196 A202197 * A202199 A202200 A202201

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 14 2011

STATUS

approved

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Last modified October 6 12:25 EDT 2022. Contains 357264 sequences. (Running on oeis4.)