login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317113 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero. 1
4, 30, 142, 698, 3398, 16686, 81809, 401415, 1969107, 9660093, 47389711, 232481946, 1140496397, 5594981980, 27447541559, 134650576212, 660561074466, 3240542648641, 15897268312271, 77987907394984, 382588604448738 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A317118.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +10*a(n-2) -a(n-3) -12*a(n-4) +7*a(n-5) -a(n-6) -20*a(n-7) +15*a(n-8) -3*a(n-9) -3*a(n-10) for n>12

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A317118.

Sequence in context: A281950 A316178 A305764 * A123351 A305525 A316999

Adjacent sequences:  A317110 A317111 A317112 * A317114 A317115 A317116

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 21 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 15:27 EDT 2021. Contains 347658 sequences. (Running on oeis4.)