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!)
A300689 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 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, 272, 272, 96, 5, 8, 307, 1391, 2229, 1391, 307, 8, 13, 981, 7187, 18225, 18225, 7187, 981, 13, 21, 3137, 37100, 150558, 240463, 150558, 37100, 3137, 21, 34, 10034, 191529, 1242620, 3179333, 3179333 (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......272.......1391.........7187..........37100

..2....30....272.....2229......18225.......150558........1242620

..3....96...1391....18225.....240463......3179333.......42006289

..5...307...7187...150558....3179333.....67479838.....1431755828

..8...981..37100..1242620...42006289...1431755828....48809162176

.13..3137.191529.10252421..554837022..30366081812..1662541314220

.21.10034.988754.84598340.7328971275.643942334598.56619912876077

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

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 14] for n>15

k=4: [order 47] for n>49

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A300421.

Sequence in context: A185835 A301669 A300427 * A300612 A301354 A229187

Adjacent sequences:  A300686 A300687 A300688 * A300690 A300691 A300692

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Mar 11 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 19 05:04 EDT 2022. Contains 353826 sequences. (Running on oeis4.)