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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316415 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 1
4, 5, 14, 27, 66, 180, 484, 1261, 3346, 8912, 23666, 62840, 166959, 443676, 1178829, 3132091, 8322214, 22112722, 58754687, 156114566, 414806153, 1102165608, 2928521067, 7781259792, 20675285518, 54935502703, 145967000962, 387843280136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A316420.

LINKS

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

FORMULA

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

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316420.

Sequence in context: A006904 A200177 A241863 * A007084 A216243 A093862

Adjacent sequences:  A316412 A316413 A316414 * A316416 A316417 A316418

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 02 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 November 30 04:28 EST 2021. Contains 349418 sequences. (Running on oeis4.)