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A317453 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
1, 11, 17, 36, 131, 322, 762, 2337, 6165, 15869, 44914, 121947, 324214, 894468, 2441451, 6589367, 18023035, 49207556, 133636847, 364592196, 994849120, 2708442209, 7384462695, 20140768449, 54883108164, 149619672899, 407984044766 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A317458.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +4*a(n-2) +16*a(n-3) -11*a(n-4) -59*a(n-5) -99*a(n-6) +30*a(n-7) +252*a(n-8) +272*a(n-9) +45*a(n-10) -323*a(n-11) -234*a(n-12) -12*a(n-13) +50*a(n-14) -117*a(n-15) -84*a(n-16) -38*a(n-17) -4*a(n-18) for n>20

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317458.

Sequence in context: A039514 A098797 A271999 * A339247 A317678 A098649

Adjacent sequences:  A317450 A317451 A317452 * A317454 A317455 A317456

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 28 2018

STATUS

approved

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Last modified May 14 16:48 EDT 2021. Contains 343898 sequences. (Running on oeis4.)