login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A317902 T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 6
0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 4, 3, 3, 4, 0, 0, 9, 2, 13, 2, 9, 0, 0, 22, 4, 31, 31, 4, 22, 0, 0, 53, 6, 54, 29, 54, 6, 53, 0, 0, 130, 14, 116, 75, 75, 116, 14, 130, 0, 0, 320, 14, 342, 315, 167, 315, 342, 14, 320, 0, 0, 788, 22, 956, 708, 502, 502, 708, 956, 22, 788, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Table starts

.0...0..0...0....0....0.....0......0......0.......0.......0........0........0

.0...1..1...2....4....9....22.....53....130.....320.....788.....1942.....4787

.0...1..1...3....2....4.....6.....14.....14......22......43.......68.......82

.0...2..3..13...31...54...116....342....956....2459....6366....16404....42964

.0...4..2..31...29...75...315....708...1978....4962...13865....38184...101161

.0...9..4..54...75..167...502...2064...5877...17008...53512...175313...540037

.0..22..6.116..315..502..3630...7770..34645...86317..320622...966922..3306875

.0..53.14.342..708.2064..7770..38448.114588..399679.1493075..5351225.18918592

.0.130.14.956.1978.5877.34645.114588.534829.1600960.7124145.24417579.99555342

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

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

k=2: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) -a(n-6)

k=3: [order 10] for n>13

k=4: [order 30] for n>34

k=5: [order 61] for n>69

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A317735.

Column 3 is A317736.

Sequence in context: A233270 A241291 A317741 * A317871 A082995 A079549

Adjacent sequences:  A317899 A317900 A317901 * A317903 A317904 A317905

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Aug 10 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 May 24 18:34 EDT 2019. Contains 323534 sequences. (Running on oeis4.)