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!)
A303800 T(n,k) = Number of n X k 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. 8
1, 2, 2, 4, 4, 4, 8, 12, 12, 8, 16, 24, 17, 24, 16, 32, 64, 30, 30, 64, 32, 64, 184, 70, 90, 70, 184, 64, 128, 432, 121, 231, 231, 121, 432, 128, 256, 1088, 221, 631, 562, 631, 221, 1088, 256, 512, 2944, 421, 1586, 1406, 1406, 1586, 421, 2944, 512, 1024, 7360, 800 (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....1024.....2048
...2....4..12....24....64....184...432...1088...2944....7360...18496....48384
...4...12..17....30....70....121...221....421....800....1511....2832.....5340
...8...24..30....90...231....631..1586...4230..11059...29053...75910...199512
..16...64..70...231...562...1406..2829...7014..16337...38826...88805...212475
..32..184.121...631..1406...5282.11733..41444.108170..344248..929630..2892458
..64..432.221..1586..2829..11733.15478..67090..96021..421513..602782..2643954
.128.1088.421..4230..7014..41444.67090.394667.764127.3928166.8156073.39226935
.256.2944.800.11059.16337.108170.96021.764127.587035.6174082.3728099.50846990
LINKS
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: a(n) = a(n-1) +a(n-2) +2*a(n-3) -a(n-5) -2*a(n-6) -2*a(n-7) for n>10
k=4: [order 28] for n>32
k=5: [order 18] for n>24
k=6: [order 71] for n>75
k=7: [order 63] for n>71
EXAMPLE
Some solutions for n=5, k=4
..0..0..1..1. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..1..1..0
..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0
..1..0..0..0. .1..0..1..1. .1..1..1..0. .0..0..0..0. .0..0..0..0
..0..1..0..1. .0..1..1..1. .0..1..0..1. .0..0..0..1. .0..0..0..1
..1..1..1..0. .1..1..1..1. .1..0..0..0. .0..0..1..0. .0..0..1..0
CROSSREFS
Column 1 is A000079(n-1).
Sequence in context: A133389 A320196 A033740 * A305245 A304479 A316304
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 30 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 18 22:34 EDT 2024. Contains 370951 sequences. (Running on oeis4.)