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!)
A299015 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 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, 1052, 1052, 343, 353, 128, 256, 869, 957, 4488, 6908, 4488, 957, 869, 256, 512, 1993, 2710, 18758, 39124, 39124, 18758, 2710, 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.........957.........2710

...8...29...44....174.....1052......4488.......18758........89713

..16...73..123...1052.....6908.....39124......259556......1718835

..32..157..343...4488....39124....379236.....3848010.....39235328

..64..353..957..18758...259556...3848010....59666756....931277377

.128..869.2710..89713..1718835..39235328...931277377..22388413097

.256.1993.7749.409166.11081989.404291236.14739630633.545009501463

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A298215.

Sequence in context: A299350 A299097 A299879 * A299806 A299682 A300314

Adjacent sequences:  A299012 A299013 A299014 * A299016 A299017 A299018

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 31 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 November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)