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A219398 Unchanging value maps: number of n X 3 binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 n X 3 array 2
4, 4, 16, 43, 122, 345, 979, 2791, 7936, 22540, 64031, 181974, 517221, 1469927, 4177203, 11870804, 33735384, 95872371, 272457370, 774287065, 2200420843, 6253312335, 17771112208, 50503204860, 143523553079, 407875327102 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A219403.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) - 2*a(n-2) + 3*a(n-3) + 4*a(n-4) + 2*a(n-5) - 5*a(n-6) - 2*a(n-7) for n>8.

Empirical g.f.: x*(4 - 8*x + 12*x^2 - 9*x^3 - 3*x^4 - 7*x^5 + 7*x^6 + 2*x^7) / (1 - 3*x + 2*x^2 - 3*x^3 - 4*x^4 - 2*x^5 + 5*x^6 + 2*x^7). - Colin Barker, Mar 11 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A219403.

Sequence in context: A099462 A218051 A092266 * A222104 A257613 A223202

Adjacent sequences:  A219395 A219396 A219397 * A219399 A219400 A219401

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 19 2012

STATUS

approved

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Last modified May 15 07:17 EDT 2021. Contains 343909 sequences. (Running on oeis4.)