login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A300605 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 10, 6, 10, 1, 1, 13, 18, 18, 13, 1, 1, 42, 23, 42, 23, 42, 1, 1, 74, 89, 141, 141, 89, 74, 1, 1, 188, 230, 394, 615, 394, 230, 188, 1, 1, 387, 552, 1397, 2394, 2394, 1397, 552, 387, 1, 1, 885, 1555, 4808, 11752, 16629, 11752, 4808, 1555, 885, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1....1.....1......1.......1........1..........1...........1............1

.1...3....2....10.....13......42.......74........188.........387..........885

.1...2....6....18.....23......89......230........552........1555.........4206

.1..10...18....42....141.....394.....1397.......4808.......16894........58420

.1..13...23...141....615....2394....11752......56417......267220......1288938

.1..42...89...394...2394...16629...110249.....729292.....4931949.....33688331

.1..74..230..1397..11752..110249..1056816....9684995....92435041....880584819

.1.188..552..4808..56417..729292..9684995..125507384..1674738412..22241403689

.1.387.1555.16894.267220.4931949.92435041.1674738412.31211394832.583083792885

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)

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

k=3: [order 30] for n>31

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A300374.

Sequence in context: A143214 A300380 A300682 * A301330 A175636 A204253

Adjacent sequences:  A300602 A300603 A300604 * A300606 A300607 A300608

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 09 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 31 03:48 EDT 2020. Contains 333136 sequences. (Running on oeis4.)