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!)
A299806 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 8 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, 44, 44, 73, 32, 64, 157, 123, 174, 123, 157, 64, 128, 353, 343, 1059, 1059, 343, 353, 128, 256, 869, 973, 4543, 7013, 4543, 973, 869, 256, 512, 1993, 2774, 19006, 40015, 40015, 19006, 2774, 1993, 512, 1024 (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.....44......123.......343.........973.........2774

...8...29...44....174.....1059......4543.......19006........90935

..16...73..123...1059.....7013.....40015......265422......1763437

..32..157..343...4543....40015....388453.....3956148.....40566160

..64..353..973..19006...265422...3956148....61726046....969500658

.128..869.2774..90935..1763437..40566160...969500658..23457257837

.256.1993.7993.415860.11422152.419678087.15429018063.574690229422

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 66] for n>70

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A298215.

Sequence in context: A299097 A299879 A299015 * A299682 A300314 A280604

Adjacent sequences:  A299803 A299804 A299805 * A299807 A299808 A299809

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)