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!)
A306172 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 6
1, 2, 2, 3, 5, 3, 5, 9, 9, 5, 8, 21, 13, 21, 8, 13, 53, 30, 30, 53, 13, 21, 105, 66, 93, 66, 105, 21, 34, 237, 123, 249, 249, 123, 237, 34, 55, 577, 252, 544, 832, 544, 252, 577, 55, 89, 1205, 535, 1372, 1956, 1956, 1372, 535, 1205, 89, 144, 2681, 1074, 3411, 5421, 5277 (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...13...30....66....123....252.....535.....1074.....2194......4530
..5...21...30...93...249....544...1372....3411.....8269....20472.....50397
..8...53...66..249...832...1956...5421...15993....42682...118773....341634
.13..105..123..544..1956...5277..16195...52752...158458...503426...1626380
.21..237..252.1372..5421..16195..53834..185090...619073..2213741...7903854
.34..577..535.3411.15993..52752.185090..722779..2706166.10841923..44886700
.55.1205.1074.8269.42682.158458.619073.2706166.11592019.54162509.259464240
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: a(n) = a(n-1) +4*a(n-3) +2*a(n-5) -a(n-7) -2*a(n-9) -2*a(n-11) -a(n-12)
k=4: [order 40] for n>41
EXAMPLE
Some solutions for n=5 k=4
..0..1..1..1. .0..1..1..1. .0..1..1..1. .0..1..1..1. .0..0..1..1
..1..1..1..1. .0..0..1..1. .1..1..1..1. .1..1..1..0. .1..0..1..0
..1..1..1..0. .1..1..1..1. .0..0..1..1. .1..1..1..1. .0..0..0..0
..1..1..1..1. .0..1..1..1. .0..1..1..1. .1..1..1..1. .0..0..1..1
..0..1..1..1. .0..0..1..1. .1..1..1..1. .0..1..1..0. .0..0..0..1
CROSSREFS
Column 1 is A000045(n+1).
Column 2 is A303963.
Column 3 is A304664.
Sequence in context: A303969 A304931 A304669 * A304355 A305918 A305649
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jun 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 July 25 00:10 EDT 2024. Contains 374585 sequences. (Running on oeis4.)