[seqfan] Re: Empirical relation for A180169: Sigma(A180162(n)), where A180162(n) is the smallest N such that sigma(N) is an nth power, or 0 if no such N can be found

[Simon Plouffe]

Hello,

  for A180169, I have this
generating function :

  (-1-x+2560*x^5+93184*x^7-46592*x^6+725590016*x^12+2*x^2-1280*x^4-362795008*x^11)/(2*x-1),


It has a score of 8.34 and it matches all the
terms in the sequence.

I checked the series and the 468'th term and they do match.

  I would say that this generating functions has good chances
to be the good one.

  My I add it to the sequence formulas ?

Best Regards,

Simon Plouffe