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!)
A233989 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal 9
56, 236, 236, 976, 1540, 976, 4064, 9632, 9632, 4064, 16880, 62040, 92320, 62040, 16880, 70176, 393396, 914000, 914000, 393396, 70176, 291648, 2520604, 8950496, 14319916, 8950496, 2520604, 291648, 1212224, 16042420, 88388464, 218943540 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......56.......236........976.........4064..........16880............70176

.....236......1540.......9632........62040.........393396..........2520604

.....976......9632......92320.......914000........8950496.........88388464

....4064.....62040.....914000.....14319916......218943540.......3423714364

...16880....393396....8950496....218943540.....5240298896.....128552152496

...70176...2520604...88388464...3423714364...128552152496....5022726159372

..291648..16042420..869143232..52813238148..3112596618224..191944315497416

.1212224.102569896.8570819600.823369058112.76199608327632.7487035849093952

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +8*a(n-2) +4*a(n-3)

k=2: [order 13]

k=3: [order 25]

k=4: [order 78]

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..1..0....0..1..3..4..2....0..2..3..1..3....0..1..0..2..4

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

..2..4..3..2..0....3..1..3..2..3....3..2..3..2..3....2..1..3..1..3

..1..3..1..0..1....2..0..1..0..1....1..0..1..0..2....4..3..4..3..4

CROSSREFS

Sequence in context: A325306 A193428 A179757 * A233982 A234769 A234762

Adjacent sequences:  A233986 A233987 A233988 * A233990 A233991 A233992

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 18 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 May 14 19:53 EDT 2021. Contains 343903 sequences. (Running on oeis4.)