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A316125 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
1, 16, 60, 197, 816, 3421, 13488, 54585, 222050, 896928, 3628145, 14702693, 59523873, 240964415, 975799703, 3951226107, 15998479918, 64780965677, 262310632650, 1062132574354, 4300748194584, 17414464996336, 70513993015956 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A316130.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +4*a(n-2) +12*a(n-3) -25*a(n-4) -79*a(n-5) -35*a(n-6) +82*a(n-7) +219*a(n-8) +105*a(n-9) -20*a(n-10) -245*a(n-11) -206*a(n-12) -64*a(n-13) +38*a(n-14) +162*a(n-15) +97*a(n-16) +46*a(n-17) +18*a(n-18) -16*a(n-19) -8*a(n-20) for n>21

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316130.

Sequence in context: A187173 A296958 A258731 * A039406 A031190 A043229

Adjacent sequences:  A316122 A316123 A316124 * A316126 A316127 A316128

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 24 2018

STATUS

approved

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Last modified September 20 18:35 EDT 2019. Contains 327245 sequences. (Running on oeis4.)