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!)
A299581 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 7
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 10, 2, 1, 1, 5, 10, 10, 5, 1, 1, 9, 27, 19, 27, 9, 1, 1, 22, 63, 43, 43, 63, 22, 1, 1, 45, 115, 126, 172, 126, 115, 45, 1, 1, 101, 267, 327, 616, 616, 327, 267, 101, 1, 1, 218, 569, 860, 1734, 2597, 1734, 860, 569, 218, 1, 1, 477, 1193, 2401 (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....2.....5......9......22.......45........101.........218

.1...1..10...10....27.....63.....115......267........569........1193

.1...2..10...19....43....126.....327......860.......2401........6733

.1...5..27...43...172....616....1734.....6188......22944.......81842

.1...9..63..126...616...2597...10646....56122.....291690.....1619418

.1..22.115..327..1734..10646...61273...464681....3999592....35862058

.1..45.267..860..6188..56122..464681..6245870...83493860..1154724040

.1.101.569.2401.22944.291690.3999592.83493860.1821672943.40042035336

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

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: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -4*a(n-4) -2*a(n-5) -2*a(n-6) +a(n-9) for n>13

k=4: [order 34]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A052962(n-2).

Sequence in context: A051242 A234934 A277394 * A069287 A215749 A102775

Adjacent sequences:  A299578 A299579 A299580 * A299582 A299583 A299584

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 13 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 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)