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!)
A298846 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. 5
0, 1, 1, 1, 4, 1, 2, 17, 17, 2, 3, 49, 48, 49, 3, 5, 166, 146, 146, 166, 5, 8, 573, 424, 466, 424, 573, 8, 13, 1933, 1274, 1446, 1446, 1274, 1933, 13, 21, 6538, 3820, 4648, 5101, 4648, 3820, 6538, 21, 34, 22165, 11529, 14888, 18191, 18191, 14888, 11529, 22165, 34 (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.....4....17.....49....166.....573.....1933......6538......22165......75089

..1....17....48....146....424....1274.....3820.....11529......34783.....104826

..2....49...146....466...1446....4648....14888.....47399.....150849.....480015

..3...166...424...1446...5101...18191....62393....214017.....735090....2521128

..5...573..1274...4648..18191...74685...290474...1134326....4476521...17504192

..8..1933..3820..14888..62393..290474..1276034...5745665...26250580..117940632

.13..6538.11529..47399.214017.1134326..5745665..30242236..163316554..862848634

.21.22165.34783.150849.735090.4476521.26250580.163316554.1056423010.6667708149

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..337

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) +2*a(n-3) -2*a(n-4) -4*a(n-5) for n>6

k=3: [order 11] for n>13

k=4: [order 24] for n>27

EXAMPLE

Some solutions for n=6 k=6

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

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A297817.

Column 3 is A297988.

Column 4 is A297989.

Sequence in context: A283042 A297823 A297993 * A298653 A299607 A297923

Adjacent sequences:  A298843 A298844 A298845 * A298847 A298848 A298849

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 27 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 21 15:36 EDT 2022. Contains 353921 sequences. (Running on oeis4.)