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A259994 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101. 1
48, 99, 284, 641, 1228, 2943, 7284, 15683, 34012, 81017, 186614, 409327, 928000, 2153685, 4861084, 10890015, 24884066, 56836211, 128191444, 290174291, 661545278, 1501862093, 3397770104, 7714956093, 17539682412, 39769793417 (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) + 5*a(n-3) + 7*a(n-4) - 7*a(n-5) - 5*a(n-7).

Empirical g.f.: x*(48 + 51*x + 185*x^2 + 117*x^3 - 244*x^4 - 62*x^5 - 159*x^6) / ((1 - x)*(1 - 5*x^3 - 12*x^4 - 5*x^5 - 5*x^6)). - Colin Barker, Dec 27 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 1 of A260001.

Sequence in context: A260248 A260001 A260241 * A113797 A260294 A260287

Adjacent sequences:  A259991 A259992 A259993 * A259995 A259996 A259997

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 12 2015

STATUS

approved

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Last modified October 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)