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A239150 Number of (n+1) X (1+1) 0..3 arrays with no element equal to all horizontal neighbors or unequal to all vertical neighbors, and new values 0..3 introduced in row major order. 1
1, 1, 7, 17, 96, 340, 1639, 6623, 29843, 126163, 554310, 2380524, 10363965, 44756085, 194216303, 840357677, 3642433780, 15771490916, 68331367227, 295943443667, 1282011757819, 5552887116543, 24053558944522, 104188496250108 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) + 7*a(n-2) - 26*a(n-3) + 5*a(n-4) + 14*a(n-5).

Empirical g.f.: x*(1 - 3*x - 4*x^2 + 8*x^3) / ((1 - x - x^2)*(1 - 3*x - 9*x^2 + 14*x^3)).

EXAMPLE

Some solutions for n=5:

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

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

..0..2....1..2....2..0....2..1....2..1....1..0....2..0....2..1....2..0....2..0

..0..2....1..2....2..0....2..0....2..1....1..0....2..0....2..1....2..0....2..0

..2..0....1..3....3..0....2..0....1..3....1..0....1..0....3..1....0..1....3..2

..2..0....1..3....3..0....2..0....1..3....1..0....1..0....3..1....0..1....3..2

CROSSREFS

Column 1 of A239155.

Sequence in context: A035078 A177123 A124165 * A092057 A082738 A092340

Adjacent sequences:  A239147 A239148 A239149 * A239151 A239152 A239153

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 11 2014

STATUS

approved

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Last modified November 27 06:10 EST 2021. Contains 349363 sequences. (Running on oeis4.)