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A232311 Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero 1
16, 139, 1202, 10409, 90157, 780922, 6764246, 58591124, 507509767, 4395993154, 38077604237, 329823977717, 2856898655026, 24746138781034, 214348305112232, 1856661207278099, 16082193123986242, 139302170295461137 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A232316

LINKS

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

FORMULA

Empirical: a(n) = 10*a(n-1) -11*a(n-2) -5*a(n-3) -a(n-4).

Empirical: G.f.: -x*(-16+21*x+12*x^2+2*x^3) / ( 1-10*x+11*x^2+5*x^3+x^4 ). - R. J. Mathar, Nov 24 2013

EXAMPLE

Some.solutions.for.n=5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A300934 A300878 A301488 * A048533 A303145 A213349

Adjacent sequences:  A232308 A232309 A232310 * A232312 A232313 A232314

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2013

STATUS

approved

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Last modified October 30 12:22 EDT 2020. Contains 338079 sequences. (Running on oeis4.)