Enticing tidbit from A027623

David Wilson davidwwilson at comcast.net
Sun Jun 12 14:09:55 CEST 2005


In A027623 (number of rings with n elements), I noticed that for p prime, 
a(p) = 2 and a(p^2) = 11 seem to be true.  However, for p^3, we have a(8) = 
52 while a(27) = 59, so a(p^3) depends on p.  Then I found this enticing 
tidbit:

           The paper by Antipkin/Elizarov also gives the number a(p^3) of 
rings of
              order p^3. - Hans H. Storrer (storrer(AT)math.unizh.ch), Sep 
16 2003

the paper being the cryptic

           V. G. Antipkin and V. P. Elizarov [Math. Rev. 84d:16025]


If A027623(p^3) were in the OEIS, it would start 52,59,...  But no such 
sequence exists in the OEIS.


- David W. Wilson

"Truth is just truth -- You can't have opinions about the truth."
   - Peter Schickele, from P.D.Q. Bach's oratorio "The Seasonings" 






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