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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A253367 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically 9
152, 272, 272, 560, 424, 560, 976, 960, 960, 976, 1904, 1536, 2992, 1536, 1904, 3472, 3136, 5280, 5280, 3136, 3472, 6544, 5664, 13800, 8904, 13800, 5664, 6544, 12048, 10496, 27072, 23936, 23936, 27072, 10496, 12048, 22704, 20000, 63496, 53128, 76840 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...152...272....560.....976....1904.....3472......6544.....12048......22704

...272...424....960....1536....3136.....5664.....10496.....20000......36160

...560...960...2992....5280...13800....27072.....63496....130464.....297288

...976..1536...5280....8904...23936....53128....112864....286888.....563680

..1904..3136..13800...23936...76840...175328....438504...1151296....2656232

..3472..5664..27072...53128..175328...520888...1255456...4289736....9455136

..6544.10496..63496..112864..438504..1255456...3424264..12086016...30463848

.12048.20000.130464..286888.1151296..4289736..12086016..51091912..132958016

.22704.36160.297288..563680.2656232..9455136..30463848.132958016..419412744

.41680.68672.612480.1423176.7032608.31254904.105411360.528171592.1709806624

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1057

FORMULA

Empirical for column k:

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

k=2: a(n) = 5*a(n-2) -8*a(n-4) +8*a(n-6) +4*a(n-8)

k=3: a(n) = 7*a(n-2) -15*a(n-4) +17*a(n-6) +16*a(n-8) for n>11

k=4: [order 14] for n>16

k=5: [order 16] for n>19

k=6: [order 22] for n>26

k=7: [order 30] for n>33

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A234348 A185394 A097640 * A253360 A252363 A248816

Adjacent sequences:  A253364 A253365 A253366 * A253368 A253369 A253370

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2014

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 26 05:23 EDT 2019. Contains 326328 sequences. (Running on oeis4.)