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!)
A305769 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 8, 4, 8, 30, 30, 8, 16, 112, 141, 112, 16, 32, 420, 684, 684, 420, 32, 64, 1576, 3282, 4893, 3282, 1576, 64, 128, 5912, 15874, 34001, 34001, 15874, 5912, 128, 256, 22176, 76613, 240701, 332676, 240701, 76613, 22176, 256, 512, 83184, 370087 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...1.....2.......4........8.........16...........32............64
...2.....8......30......112........420.........1576..........5912
...4....30.....141......684.......3282........15874.........76613
...8...112.....684.....4893......34001.......240701.......1696681
..16...420....3282....34001.....332676......3343997......33584061
..32..1576...15874...240701....3343997.....47791549.....686168124
..64..5912...76613..1696681...33584061....686168124...14187207394
.128.22176..370087.11974403..336821283...9812796379..291309897184
.256.83184.1787161.84503446.3382396016.140721354959.6009246932279
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) +4*a(n-3)
k=3: [order 11]
k=4: [order 35] for n>37
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..1. .0..1..1..0. .0..0..1..0. .0..0..0..1. .0..0..0..0
..1..0..0..0. .0..1..0..1. .0..1..0..0. .0..0..0..1. .1..0..0..0
..1..1..1..0. .0..1..1..1. .0..0..0..0. .0..1..0..1. .1..1..1..0
..1..1..1..1. .0..1..1..1. .0..0..0..0. .1..0..0..1. .0..1..1..1
..0..0..0..0. .0..1..1..0. .1..0..0..1. .1..0..0..1. .0..1..1..0
CROSSREFS
Column 1 is A000079(n-1).
Column 2 is A281949.
Sequence in context: A303469 A281955 A316183 * A317118 A305530 A317004
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 10 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 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)