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!)
A318552 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 6, 6, 2, 3, 10, 5, 10, 3, 5, 21, 21, 21, 21, 5, 8, 46, 44, 64, 44, 46, 8, 13, 102, 106, 219, 219, 106, 102, 13, 21, 220, 258, 589, 842, 589, 258, 220, 21, 34, 491, 600, 1782, 3172, 3172, 1782, 600, 491, 34, 55, 1077, 1476, 5621, 12073, 14760, 12073, 5621 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0...1....1.....2......3.......5........8........13.........21..........34

..1...3....6....10.....21......46......102.......220........491........1077

..1...6....5....21.....44.....106......258.......600.......1476........3461

..2..10...21....64....219.....589.....1782......5621......17333.......54199

..3..21...44...219....842....3172....12073.....49181.....191426......766695

..5..46..106...589...3172...14760....67976....337349....1614708.....7855731

..8.102..258..1782..12073...67976...437825...2689769...16069287...100151409

.13.220..600..5621..49181..337349..2689769..21556643..159367978..1242485030

.21.491.1476.17333.191426.1614708.16069287.159367978.1516492860.14741167613

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

FORMULA

Empirical for column k:

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

k=2: a(n) = a(n-1) +4*a(n-2) -2*a(n-3) -2*a(n-4) +a(n-5) -4*a(n-6) +4*a(n-7) -a(n-8)

k=3: [order 31]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A317857.

Sequence in context: A055179 A317863 A318214 * A183289 A183253 A201675

Adjacent sequences:  A318549 A318550 A318551 * A318553 A318554 A318555

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 28 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 June 27 22:27 EDT 2022. Contains 354899 sequences. (Running on oeis4.)