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A202199 Number of (n+2) X 7 binary arrays avoiding patterns 001 and 101 in rows and columns. 1
1176, 4704, 14700, 38808, 90552, 192192, 378378, 700700, 1233232, 2079168, 3378648, 5317872, 8139600, 12155136, 17757894, 25438644, 35802536, 49588000, 67687620, 91171080, 121310280, 159606720, 207821250, 268006284, 342540576 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A202202.

LINKS

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

FORMULA

Empirical: a(n) = 7*(n+7)*(n+6)*(n+5)*(n+4)*(n+3)*(n+2)^2/360.

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

G.f.: 14*x*(84 - 336*x + 714*x^2 - 924*x^3 + 756*x^4 - 384*x^5 + 111*x^6 - 14*x^7) / (1 - x)^8.

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.

(End)

EXAMPLE

Some solutions for n=2:

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

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

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

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

CROSSREFS

Cf. A202202.

Sequence in context: A204756 A027485 A204755 * A233870 A237774 A223340

Adjacent sequences:  A202196 A202197 A202198 * A202200 A202201 A202202

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 14 2011

STATUS

approved

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Last modified September 20 00:07 EDT 2020. Contains 337211 sequences. (Running on oeis4.)