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!)
A305347 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 3, 5, 3, 5, 9, 9, 5, 8, 21, 14, 21, 8, 13, 53, 28, 28, 53, 13, 21, 105, 63, 77, 63, 105, 21, 34, 237, 126, 199, 199, 126, 237, 34, 55, 577, 245, 454, 649, 454, 245, 577, 55, 89, 1205, 505, 1074, 1729, 1729, 1074, 505, 1205, 89, 144, 2681, 1037, 2619, 4685, 5408 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
..1....2....3....5.....8.....13.....21......34.......55........89.......144
..2....5....9...21....53....105....237.....577.....1205......2681......6349
..3....9...14...28....63....126....245.....505.....1037......2088......4230
..5...21...28...77...199....454...1074....2619.....6216.....14782.....35494
..8...53...63..199...649...1729...4685...13671....38115....105379....298557
.13..105..126..454..1729...5408..17054...58109...187782....603230...1995190
.21..237..245.1074..4685..17054..64658..259281...981360...3731097..14545752
.34..577..505.2619.13671..58109.259281.1241359..5567478..25026350.115911873
.55.1205.1037.6216.38115.187782.981360.5567478.29268593.154351497.843143816
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2)
k=2: a(n) = a(n-1) +8*a(n-3) -4*a(n-4)
k=3: [order 12]
k=4: [order 36] for n>37
k=5: [order 37] for n>48
EXAMPLE
Some solutions for n=5 k=4
..0..0..0..0. .0..0..1..1. .0..1..1..0. .0..1..1..1. .0..0..1..1
..0..1..0..0. .0..1..1..1. .1..1..1..1. .1..1..1..1. .0..1..1..1
..1..1..1..0. .1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1
..1..1..0..0. .1..1..1..1. .1..1..1..0. .1..1..1..1. .1..1..1..1
..1..0..0..0. .1..0..1..1. .1..1..0..0. .1..0..1..1. .1..1..0..1
CROSSREFS
Column 1 is A000045(n+1).
Column 2 is A303963.
Sequence in context: A305918 A305649 A316925 * A316615 A316427 A317429
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, May 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 April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)