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A260063 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000111. 1
48, 91, 256, 557, 956, 2131, 5088, 10235, 20242, 45355, 99168, 201609, 422888, 924655, 1959672, 4072719, 8679398, 18623703, 39243888, 82677405, 176286268, 374837907, 791289656, 1676354907, 3565263074, 7557825083, 15992930920 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

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

Empirical g.f.: x*(48 + 43*x + 165*x^2 + 109*x^3 - 205*x^4 - 64*x^5) / (1 - x - 4*x^3 - 5*x^4 + 5*x^5 + 2*x^6). - Colin Barker, Dec 28 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 1 of A260070.

Sequence in context: A260980 A260070 A260973 * A211723 A274899 A218486

Adjacent sequences:  A260060 A260061 A260062 * A260064 A260065 A260066

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 14 2015

STATUS

approved

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Last modified October 18 18:47 EDT 2021. Contains 348068 sequences. (Running on oeis4.)