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!)
A299682 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 7, 4, 8, 13, 13, 8, 16, 29, 20, 29, 16, 32, 73, 45, 45, 73, 32, 64, 157, 147, 211, 147, 157, 64, 128, 353, 506, 1477, 1477, 506, 353, 128, 256, 869, 1561, 7279, 13369, 7279, 1561, 869, 256, 512, 1993, 5017, 35408, 95471, 95471, 35408, 5017, 1993, 512 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2.....4.......8.......16.........32...........64............128

...2....7....13......29.......73........157..........353............869

...4...13....20......45......147........506.........1561...........5017

...8...29....45.....211.....1477.......7279........35408.........196107

..16...73...147....1477....13369......95471.......757628........6503333

..32..157...506....7279....95471....1247427.....16311888......226655504

..64..353..1561...35408...757628...16311888....346275749.....7835688567

.128..869..5017..196107..6503333..226655504...7835688567...289785610230

.256.1993.16429.1040287.52948378.3113437608.174961291252.10547510714203

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

k=2: a(n) = 4*a(n-1) -5*a(n-2) +10*a(n-3) -24*a(n-4) +16*a(n-5) for n>6

k=3: [order 16] for n>17

k=4: [order 61] for n>64

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A298215.

Sequence in context: A299879 A299015 A299806 * A300314 A280604 A301323

Adjacent sequences:  A299679 A299680 A299681 * A299683 A299684 A299685

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 16 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 25 19:28 EDT 2020. Contains 338012 sequences. (Running on oeis4.)