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A317431 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 16, 61, 201, 863, 3666, 14831, 61638, 255772, 1057307, 4380003, 18147665, 75156794, 311315739, 1289593418, 5341744958, 22126877953, 91655931185, 379663396847, 1572669053056, 6514430280073, 26984558653702, 111777454797820 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A317436.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +5*a(n-2) +10*a(n-3) -29*a(n-4) -69*a(n-5) -36*a(n-6) +68*a(n-7) +201*a(n-8) +115*a(n-9) +35*a(n-10) -218*a(n-11) -192*a(n-12) -83*a(n-13) +2*a(n-14) +113*a(n-15) +61*a(n-16) +18*a(n-17) +4*a(n-18) -10*a(n-19) -4*a(n-20) for n>21

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317436.

Sequence in context: A031190 A043229 A044009 * A241523 A264632 A007831

Adjacent sequences:  A317428 A317429 A317430 * A317432 A317433 A317434

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 27 2018

STATUS

approved

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Last modified July 3 06:48 EDT 2022. Contains 355031 sequences. (Running on oeis4.)