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!)
A299244 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
1, 7, 6, 18, 30, 87, 202, 526, 1449, 3893, 10886, 30529, 85878, 243545, 691293, 1966629, 5603311, 15974714, 45572960, 130060050, 371260631, 1059964088, 3026563164, 8642492229, 24680273281, 70481398248, 201283524625, 574841555052 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A299249.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -9*a(n-3) -10*a(n-4) +24*a(n-5) +14*a(n-6) -19*a(n-7) -15*a(n-8) -4*a(n-9) -32*a(n-10) +54*a(n-11) +126*a(n-12) -72*a(n-13) -96*a(n-14) -14*a(n-15) -10*a(n-16) +32*a(n-17) +24*a(n-18) +4*a(n-19) for n>20

EXAMPLE

Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

CROSSREFS

Cf. A299249.

Sequence in context: A198460 A215334 A298377 * A249114 A275372 A338137

Adjacent sequences:  A299241 A299242 A299243 * A299245 A299246 A299247

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 05 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 June 19 12:53 EDT 2021. Contains 345129 sequences. (Running on oeis4.)