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!)
A231746 T(n,k)=Number of nXk 0..3 arrays with no element less than a strict majority of its horizontal and vertical neighbors 6
4, 4, 4, 16, 84, 16, 50, 318, 318, 50, 144, 1328, 4430, 1328, 144, 422, 6064, 60806, 60806, 6064, 422, 1268, 26918, 784076, 2154900, 784076, 26918, 1268, 3823, 116909, 9945132, 71742015, 71742015, 9945132, 116909, 3823, 11472, 511264, 126926437 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....4......4.........16............50..............144..................422

....4.....84........318..........1328.............6064................26918

...16....318.......4430.........60806...........784076..............9945132

...50...1328......60806.......2154900.........71742015...........2426463539

..144...6064.....784076......71742015.......6425495277.........598711367728

..422..26918....9945132....2426463539.....598711367728......155985773478611

.1268.116909..126926437...82701946547...56006640316980....40539474933206048

.3823.511264.1625269595.2814528154294.5220406326242670.10471241201508754882

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -6*a(n-2) +10*a(n-3) -5*a(n-4) +6*a(n-5) -a(n-6) +a(n-7) for n>8

k=2: [order 19] for n>20

k=3: [order 87] for n>88

EXAMPLE

Some solutions for n=3 k=4

..0..2..0..0....3..1..1..2....0..2..1..0....0..0..2..2....1..1..3..1

..0..3..0..3....3..1..0..0....0..0..0..0....1..0..0..3....3..1..1..1

..0..1..0..0....3..1..0..0....0..3..3..1....3..1..0..0....0..0..0..0

CROSSREFS

Column 1 is A203094 for n>1

Sequence in context: A218181 A231586 A231700 * A275858 A241094 A319257

Adjacent sequences:  A231743 A231744 A231745 * A231747 A231748 A231749

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 13 2013

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 09:08 EDT 2021. Contains 348074 sequences. (Running on oeis4.)