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A260202 Number of (n+2) X (3+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000000 00000001 or 00010001. 1
106, 207, 685, 1857, 5291, 15715, 45181, 129853, 377479, 1091843, 3153331, 9128061, 26409885, 76369661, 220928809, 639119931, 1848648749, 5347522963, 15468867253, 44745801211, 129434159209, 374410717115, 1083042439267, 3132872536335 (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) + 2*a(n-2) + 9*a(n-3) + 6*a(n-4) - 3*a(n-5) - 10*a(n-6) - 17*a(n-7) - 7*a(n-8) + 12*a(n-9) + 12*a(n-10) - 6*a(n-11) for n>12.

Empirical g.f.: x*(106 + 101*x + 266*x^2 - 196*x^3 - 435*x^4 - 379*x^5 - 258*x^6 + 408*x^7 + 765*x^8 + 4*x^9 - 570*x^10 + 186*x^11) / (1 - x - 2*x^2 - 9*x^3 - 6*x^4 + 3*x^5 + 10*x^6 + 17*x^7 + 7*x^8 - 12*x^9 - 12*x^10 + 6*x^11). - Colin Barker, Dec 28 2018

EXAMPLE

Some solutions for n=4:

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

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

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

CROSSREFS

Column 3 of A260207.

Sequence in context: A160725 A044338 A044719 * A255818 A090775 A213458

Adjacent sequences:  A260199 A260200 A260201 * A260203 A260204 A260205

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2015

STATUS

approved

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Last modified January 21 15:30 EST 2022. Contains 350479 sequences. (Running on oeis4.)