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!)
A298589 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 9, 2, 1, 1, 5, 5, 5, 5, 1, 1, 9, 16, 4, 16, 9, 1, 1, 22, 31, 13, 13, 31, 22, 1, 1, 45, 28, 31, 65, 31, 28, 45, 1, 1, 101, 87, 83, 233, 233, 83, 87, 101, 1, 1, 218, 125, 262, 441, 1112, 441, 262, 125, 218, 1, 1, 477, 185, 819, 1765, 4620, 4620, 1765 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.1...1...1...1....1......1.......1........1..........1...........1............1

.1...1...1...2....5......9......22.......45........101.........218..........477

.1...1...9...5...16.....31......28.......87........125.........185..........418

.1...2...5...4...13.....31......83......262........819........2690.........8887

.1...5..16..13...65....233.....441.....1765.......7431.......28212.......121244

.1...9..31..31..233...1112....4620....29589.....169601.....1004366......6170528

.1..22..28..83..441...4620...26343...240692....2382399....22651784....228684042

.1..45..87.262.1765..29589..240692..3833927...54266663...764702068..11301659452

.1.101.125.819.7431.169601.2382399.54266663.1239155011.27405626123.629168904793

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..219

FORMULA

Empirical for column k:

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

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

k=3: [order 9] for n>13

k=4: [order 34]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A052962(n-2).

Sequence in context: A178418 A249270 A153739 * A272286 A019645 A011065

Adjacent sequences:  A298586 A298587 A298588 * A298590 A298591 A298592

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 22 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 August 5 00:15 EDT 2021. Contains 346456 sequences. (Running on oeis4.)