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!)
A316213 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
4, 14, 28, 75, 250, 706, 2116, 6399, 19179, 57552, 173123, 520515, 1564516, 4704272, 14144805, 42529166, 127877045, 384503591, 1156133200, 3476296651, 10452650138, 31429406405, 94503128515, 284155666181, 854410380210, 2569074895741 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316218.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +4*a(n-2) +5*a(n-3) -13*a(n-4) -31*a(n-5) -25*a(n-6) +30*a(n-7) +75*a(n-8) +66*a(n-9) -11*a(n-10) -52*a(n-11) -18*a(n-12) -12*a(n-13) -24*a(n-14) -27*a(n-15) for n>16

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316218.

Sequence in context: A130439 A289179 A033690 * A296985 A244714 A218212

Adjacent sequences:  A316210 A316211 A316212 * A316214 A316215 A316216

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 26 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 April 9 20:34 EDT 2020. Contains 333362 sequences. (Running on oeis4.)