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!)
A300930 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 11, 11, 2, 3, 37, 75, 37, 3, 5, 129, 508, 508, 129, 5, 8, 450, 3447, 6638, 3447, 450, 8, 13, 1568, 23404, 87561, 87561, 23404, 1568, 13, 21, 5464, 158855, 1155263, 2244335, 1155263, 158855, 5464, 21, 34, 19041, 1078231, 15238332 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1.......1..........2............3...............5..................8

..1.....3......11.........37..........129.............450...............1568

..1....11......75........508.........3447...........23404.............158855

..2....37.....508.......6638........87561.........1155263...........15238332

..3...129....3447......87561......2244335........57594572.........1477281166

..5...450...23404....1155263.....57594572......2875574552.......143498589629

..8..1568..158855...15238332...1477281166....143498589629.....13930396115571

.13..5464.1078231..200997959..37892542998...7160975085336...1352339873296663

.21.19041.7318522.2651226860.971951600750.357354070296570.131283287305824217

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..311

FORMULA

Empirical for column k:

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

k=2: a(n) = 4*a(n-1) -2*a(n-2) +a(n-3) -a(n-4) for n>5

k=3: [order 8] for n>10

k=4: [order 26] for n>27

k=5: [order 64] for n>67

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A232031(n-1).

Sequence in context: A180771 A300546 A300973 * A109528 A136125 A092580

Adjacent sequences:  A300927 A300928 A300929 * A300931 A300932 A300933

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 15 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 October 22 16:15 EDT 2021. Contains 348174 sequences. (Running on oeis4.)