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A260537 Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001. 1
40, 75, 193, 337, 582, 1350, 2732, 5037, 10549, 21615, 41842, 84846, 172576, 341567, 686447, 1387291, 2770696, 5557618, 11190652, 22426331, 44981821, 90410789, 181399432, 363944476, 730917000, 1467035943, 2944001797, 5910524039 (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) + a(n-2) + 5*a(n-3) - 2*a(n-4) - 5*a(n-5) - 6*a(n-6) - a(n-7) + 2*a(n-8) + 2*a(n-9) for n>10.

Empirical g.f.: x*(40 + 35*x + 78*x^2 - 131*x^3 - 243*x^4 - 184*x^5 + 116*x^6 + 174*x^7 + 32*x^8 - 36*x^9) / (1 - x - x^2 - 5*x^3 + 2*x^4 + 5*x^5 + 6*x^6 + x^7 - 2*x^8 - 2*x^9). - Colin Barker, Dec 29 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 1 of A260544.

Sequence in context: A260177 A260170 A260544 * A044106 A044487 A253692

Adjacent sequences:  A260534 A260535 A260536 * A260538 A260539 A260540

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 28 2015

STATUS

approved

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Last modified August 15 12:09 EDT 2022. Contains 356145 sequences. (Running on oeis4.)