Code: Select all
1, 6, 36, 146, 511, 1512
Big hint: it's tablebase related.
Moderators: hgm, Rebel, chrisw
Code: Select all
1, 6, 36, 146, 511, 1512
Is it different from 4032, with applications in chemistry (alkanes)? That would be really cool.sje wrote:Guess the next number in the sequence:Bozo knows the answer, although this required an embarrassingly large amount of coding time.Code: Select all
1, 6, 36, 146, 511, 1512
Big hint: it's tablebase related.
You got it. Did you calculate the number, or did you find it somewhere?marcelk wrote:Is it different from 4032, with applications in chemistry (alkanes)? That would be really cool.
Code: Select all
{ Tablebase class counts, each for N men }
tbcm02len = 1;
tbcm03len = 6;
tbcm04len = 36;
tbcm05len = 146;
tbcm06len = 511;
tbcm07len = 1512;
tbcm08len = 4032;
tbcm09len = 9752;
tbcm10len = 21942;
The hint was crucial. During much time I did not get it and also I forgot about thinking more in it. At 21:00 h in Madrid, Spain (which is GMT + 1) I turned off the computer and ten minutes later I realized about the key! But I decided to wait for the next day to answer: when you sad that was tablebase related I only thought about sorts of endgames, and I remembered 1, 5, 30, 110, ..., 1001 (I did not remember the number of different endgames in 6-man but yes in 7-man (because someone commented something somewhere a while ago (<ironic> I am highly accurate </ironic>) about Generator Chess), and I did not get that 6 = 1 + 5; 36 = 1 + 5 + 30; [...] and so on. A curious thing is that I searched this sequence in Google and I read about Losanitsch's Triangle (the first time I hear about that triangle), but I got nothing from there... it is like I would have K+Q (me) vs. K against Kasparov and I draw by stalemate... so silly!sje wrote:Guess the next number in the sequence:Bozo knows the answer, although this required an embarrassingly large amount of coding time.Code: Select all
1, 6, 36, 146, 511, 1512
Big hint: it's tablebase related.
It took hours of thought and coding, and the sad part is that I had solved a very similar problem (TB class dependency) long ago. My major mistake was to first try using the material signature as a sort of index variable; what I should have done from the start was to split the signature into its two color indexed components.Ajedrecista wrote:I am curious about this required an embarrassingly large amount of coding time... how much time (if you want to say it)?
Someone should inform OEIS and Wikipedia of the serendipitous discovery of this connection between chess and chemistry.
You are implied in some projects (run of Perft(13), BozoChess / CookeCat...) and the results seem to be fairly good! Congratulations. I wish you good luck.sje wrote:It took hours of thought and coding, and the sad part is that I had solved a very similar problem (TB class dependency) long ago. My major mistake was to first try using the material signature as a sort of index variable; what I should have done from the start was to split the signature into its two color indexed components.Ajedrecista wrote:I am curious about this required an embarrassingly large amount of coding time... how much time (if you want to say it)?
For details, send me your email address and I'll reply with the CookieCat source.