login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A297817 Number of nX2 0..1 arrays with every element equal to 1, 2 or 3 king-move adjacent elements, with upper left element zero. 5
1, 4, 17, 49, 166, 573, 1933, 6538, 22165, 75089, 254350, 861661, 2919029, 9888610, 33499125, 113483321, 384441606, 1302353053, 4411914717, 14946017274, 50631856149, 171522942625, 581059476926, 1968425392285, 6668333757637 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 2 of A297823.

LINKS

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

FORMULA

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

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297823.

Sequence in context: A273334 A273766 A173704 * A184445 A334694 A228960

Adjacent sequences:  A297814 A297815 A297816 * A297818 A297819 A297820

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 06 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 January 28 01:29 EST 2022. Contains 350654 sequences. (Running on oeis4.)