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!)
A299089 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 26, 26, 8, 16, 88, 92, 88, 16, 32, 298, 354, 354, 298, 32, 64, 1012, 1387, 1617, 1387, 1012, 64, 128, 3440, 5470, 7722, 7722, 5470, 3440, 128, 256, 11700, 21484, 36667, 46456, 36667, 21484, 11700, 256, 512, 39804, 84425, 173524, 273360, 273360 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...1.....2......4.......8.......16........32..........64..........128
...2.....8.....26......88......298......1012........3440........11700
...4....26.....92.....354.....1387......5470.......21484........84425
...8....88....354....1617.....7722.....36667......173524.......822065
..16...298...1387....7722....46456....273360.....1598956......9400094
..32..1012...5470...36667...273360...2001653....14514670....105596164
..64..3440..21484..173524..1598956..14514670...129999453...1166134994
.128.11700..84425..822065..9400094.105596164..1166134994..12899638332
.256.39804.331838.3897261.55296169.769538056.10493701031.143316205219
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1)
k=2: a(n) = 4*a(n-1) -2*a(n-2) +2*a(n-3) -6*a(n-4) -4*a(n-5)
k=3: [order 17] for n>19
k=4: [order 64] for n>66
EXAMPLE
Some solutions for n=5 k=4
..0..0..1..1. .0..0..0..1. .0..0..0..1. .0..0..1..1. .0..1..1..1
..1..0..0..0. .0..1..1..1. .1..1..1..0. .1..1..1..0. .1..0..0..0
..0..1..0..0. .0..1..1..0. .1..1..1..1. .1..1..0..1. .0..0..0..0
..1..0..0..0. .0..1..1..1. .1..1..0..0. .1..1..1..1. .1..1..0..0
..0..0..1..1. .0..0..0..1. .0..0..1..0. .0..0..1..0. .1..0..1..1
CROSSREFS
Column 1 is A000079(n-1).
Column 2 is A298189.
Sequence in context: A301841 A302069 A298195 * A299345 A299852 A299008
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)