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!)
A316304 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 4, 4, 8, 12, 12, 8, 16, 24, 20, 24, 16, 32, 64, 39, 39, 64, 32, 64, 184, 110, 114, 110, 184, 64, 128, 432, 245, 339, 339, 245, 432, 128, 256, 1088, 572, 1021, 1519, 1021, 572, 1088, 256, 512, 2944, 1384, 2929, 5120, 5120, 2929, 1384, 2944, 512, 1024, 7360 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2....4.....8.....16......32.......64.......128........256.........512

...2....4...12....24.....64.....184......432......1088.......2944........7360

...4...12...20....39....110.....245......572......1384.......3267........7767

...8...24...39...114....339....1021.....2929......8639......25410.......74617

..16...64..110...339...1519....5120....19185.....72289.....268933......999260

..32..184..245..1021...5120...20780....97864....444290....2065314.....9512624

..64..432..572..2929..19185...97864...608947...3605691...21632912...130126938

.128.1088.1384..8639..72289..444290..3605691..26898537..208808616..1617004105

.256.2944.3267.25410.268933.2065314.21632912.208808616.2095245767.21106046766

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1)

k=2: a(n) = 2*a(n-1) +8*a(n-3) -8*a(n-4) -8*a(n-5) for n>6

k=3: [order 12] for n>13

k=4: [order 65] for n>67

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A303794.

Sequence in context: A303800 A305245 A304479 * A304848 A316545 A306060

Adjacent sequences:  A316301 A316302 A316303 * A316305 A316306 A316307

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jun 29 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 13 11:17 EDT 2021. Contains 344990 sequences. (Running on oeis4.)