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!)
A301354 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 7
0, 1, 1, 1, 3, 1, 2, 10, 10, 2, 3, 30, 53, 30, 3, 5, 96, 277, 277, 96, 5, 8, 307, 1433, 2349, 1433, 307, 8, 13, 981, 7522, 19561, 19561, 7522, 981, 13, 21, 3137, 39390, 165010, 264054, 165010, 39390, 3137, 21, 34, 10034, 206370, 1392131, 3579171, 3579171 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

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

..1.....3......10.......30.........96..........307............981

..1....10......53......277.......1433.........7522..........39390

..2....30.....277.....2349......19561.......165010........1392131

..3....96....1433....19561.....264054......3579171.......48476633

..5...307....7522...165010....3579171.....78012336.....1702789144

..8...981...39390..1392131...48476633...1702789144....59990521481

.13..3137..206370.11741731..656551657..37169645074..2112136719464

.21.10034.1081141.99032014.8891966361.811102103620.74331048515102

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

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

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

k=3: [order 18] for n>20

k=4: [order 72] for n>73

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A300421.

Sequence in context: A300427 A300689 A300612 * A229187 A126226 A307665

Adjacent sequences:  A301351 A301352 A301353 * A301355 A301356 A301357

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 19 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 May 24 14:36 EDT 2022. Contains 354037 sequences. (Running on oeis4.)