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A259717 Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 or 00000011. 1
54, 95, 228, 392, 556, 1219, 2330, 3544, 6772, 13549, 22196, 39298, 77918, 136015, 234216, 449446, 817220, 1411079, 2618246, 4847534, 8502364, 15413237, 28586848, 50995616, 91420870, 168451387, 304255892, 544300220, 994495588, 1808110199 (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-2) + 5*a(n-3) + 4*a(n-4) - 4*a(n-5) - 8*a(n-6) - 5*a(n-7) - 3*a(n-8) + 2*a(n-9) + 3*a(n-10).

Empirical g.f.: x*(54 + 95*x + 174*x^2 + 27*x^3 - 363*x^4 - 477*x^5 - 286*x^6 - 81*x^7 + 152*x^8 + 156*x^9) / (1 - x^2 - 5*x^3 - 4*x^4 + 4*x^5 + 8*x^6 + 5*x^7 + 3*x^8 - 2*x^9 - 3*x^10). - Colin Barker, Dec 26 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 2 of A259723.

Sequence in context: A071863 A045933 A088986 * A118150 A039779 A044143

Adjacent sequences:  A259714 A259715 A259716 * A259718 A259719 A259720

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 03 2015

STATUS

approved

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Last modified November 29 23:37 EST 2020. Contains 338780 sequences. (Running on oeis4.)