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!)
A263873 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits, and rows and columns lexicographically nondecreasing. 6
2, 2, 2, 3, 2, 3, 3, 3, 3, 3, 4, 3, 7, 3, 4, 4, 4, 7, 7, 4, 4, 5, 4, 14, 7, 14, 4, 5, 5, 5, 14, 16, 16, 14, 5, 5, 6, 5, 25, 17, 61, 17, 25, 5, 6, 6, 6, 25, 41, 93, 93, 41, 25, 6, 6, 7, 6, 41, 48, 494, 379, 494, 48, 41, 6, 7, 7, 7, 41, 113, 975, 2909, 2909, 975, 113, 41, 7, 7, 8, 7, 63, 141 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.2.2..3...3.....4......4........5.........5.........6..........6.........7

.2.2..3...3.....4......4........5.........5.........6..........6.........7

.3.3..7...7....14.....14.......25........25........41.........41........63

.3.3..7...7....16.....17.......41........48.......113........141.......303

.4.4.14..16....61.....93......494.......975......4917......10340.....41366

.4.4.14..17....93....379.....2909.....20374....121878.....785046...3811314

.5.5.25..41...494...2909....62904....525967...8468941...71260394.850301770

.5.5.25..48...975..20374...525967..16701495.329866231.8672875293

.6.6.41.113..4917.121878..8468941.329866231

.6.6.41.141.10340.785046.71260394

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2) -a(n-3)

k=2: a(n) = a(n-1) +a(n-2) -a(n-3)

k=3: a(n) = a(n-1) +3*a(n-2) -3*a(n-3) -3*a(n-4) +3*a(n-5) +a(n-6) -a(n-7)

k=4: [order 14]

k=5: [order 37]

k=6: [order 79]

EXAMPLE

Some solutions for n=4 k=4

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..0..0..0

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..1..1..1..1

..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..1..1..1..1

..0..0..0..1..1....0..1..1..1..1....0..0..0..0..0....0..1..1..1..1

..0..0..0..1..1....0..1..1..1..1....0..0..0..0..0....0..1..1..1..1

CROSSREFS

Columns 1 and 2 are A004526(n+3).

Column 3 is A263794(n+1).

Sequence in context: A335925 A104307 A264029 * A263799 A299230 A182576

Adjacent sequences:  A263870 A263871 A263872 * A263874 A263875 A263876

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 28 2015

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 October 2 00:13 EDT 2022. Contains 357173 sequences. (Running on oeis4.)