more challenge sequences needed

Hugo Pfoertner all at abouthugo.de
Wed May 25 21:36:39 CEST 2005


Max wrote:
> 
> I guess ( reading message http://groups.yahoo.com/group/AlZimmermannsProgrammingContests/message/1313 )
> this contest is supposed to continue a series of Al Zimmermann's Programming Contests.
> 
> If so, I suggest to look at the older contest problem at http://members.aol.com/bitzenbeitz/Contests/
> to an impression on what type of problems the participants are expecting.
> 
> Max

For an example see:
http://www.research.att.com/projects/OEIS?Anum=A098065

from the "Triangles" contest:
http://members.aol.com/bitzenbeitz/Contests/Triangles/Description.html

We probably should check if the final results of the other contests are
already in the OEIS:

I did not find the result of the "Darts Problem"
http://members.aol.com/bitzenbeitz/Contests/Darts/Description.html
with
4 8 16 25 37 53 71 94 122 155 187 226 272 ...
found independently by the top 9 ranked contestants
http://members.aol.com/bitzenbeitz/Contests/Darts/FinalReport.html

Also the 3D and 4D Attacking Queen results seem to be missing:
http://members.aol.com/bitzenbeitz/Contests/AttackingQueens/Description.html
3D:
1 1 4 7 13 21 32 48 67 91 121 133 169 172 199 241 289 307 361 364 405
463 529 532
4D:
1 1 6 16 38 80 145 241 386 592 865 1221 1681 2261 2978 3856 4913 5526
6859 6958 8456 10186 12167
from
http://members.aol.com/bitzenbeitz/Contests/AttackingQueens/FinalReport.html

I don't know if we can derive an integer sequence from the results of
the Polyhedra Contest:
http://members.aol.com/bitzenbeitz/Contests/Polyhedra/index.html
maybe
17,40,78,137,221, [351,491,..], using "Ceiling of results" at
http://members.aol.com/bitzenbeitz/Contests/Polyhedra/FinalReport.html

Also the results of the "Squares Programming Contest"
http://members.aol.com/bitzenbeitz/Contests/Squares/index.html
might be cast into a sequence (starting at grid size n=7)

Number of Monochromatic Squares:
3,8,17,30,53,80,119,164,224,288,...

Number of unique grids, disregarding rotations, reflections and
inversions:
8,1,8,9,29,3,3,3,8,1,....

Since I am currently very busy in extending
http://www.research.att.com/projects/OEIS?Anum=A084824
, for a preview see:
http://www.mycgiserver.com/~merren/sphere_packing/SpherePacking.html

my hope is that some others here in the group will help in bringing
those nice contest sequences into the OEIS.

Hugo Pfoertner





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