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!)
A298629 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 6, 8, 6, 0, 0, 17, 26, 26, 17, 0, 0, 41, 138, 125, 138, 41, 0, 0, 104, 611, 1218, 1218, 611, 104, 0, 0, 261, 2880, 8617, 20959, 8617, 2880, 261, 0, 0, 655, 13727, 71334, 285085, 285085, 71334, 13727, 655, 0, 0, 1646, 65070, 577595, 4228781 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.0...0.....0.......0.........0............0..............0................0
.0...1.....3.......6........17...........41............104..............261
.0...3.....8......26.......138..........611...........2880............13727
.0...6....26.....125......1218.........8617..........71334...........577595
.0..17...138....1218.....20959.......285085........4228781.........62707643
.0..41...611....8617....285085......7087666......193309200.......5247911837
.0.104..2880...71334...4228781....193309200.....9557110072.....471778534219
.0.261.13727..577595..62707643...5247911837...471778534219...42384213387355
.0.655.65070.4700651.929296248.142315671147.23254989974319.3802910270886730
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1) +3*a(n-2) +2*a(n-3)
k=3: [order 11] for n>12
k=4: [order 48]
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..1. .0..0..0..0. .0..1..1..1. .0..0..0..0. .0..0..0..0
..0..0..1..1. .1..0..0..0. .0..0..1..1. .0..0..0..0. .0..1..1..0
..0..0..0..0. .1..1..0..0. .1..0..0..0. .0..1..0..0. .0..0..1..1
..1..1..0..1. .0..1..1..0. .1..1..0..0. .1..1..1..0. .0..0..0..1
..1..1..1..1. .0..0..1..1. .1..0..0..0. .1..1..0..0. .0..0..0..0
CROSSREFS
Column 2 is A297972.
Sequence in context: A335682 A335681 A297978 * A298461 A299334 A268759
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 23 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 February 21 18:07 EST 2024. Contains 370237 sequences. (Running on oeis4.)