[seqfan] regarding A035263 (period-doubling seq.)

Joerg Arndt arndt at jjj.de
Fri Apr 30 13:37:03 CEST 2010


There is a 

 conjectured identity relating to the partition sequence, A000041:
 p(x) = A(x) * A(x^2) when A(x) = the Euler transform of A035263 = polcoeff
 A174065: (1 + x + x^2 + 2x^3 + 3x^4 + 4x^5 + ...). (End) 

This is true due to the identity for the OGF D(x) of A035263:
  D(x) + D(x^2) == x/(1-x)
(which appears to be missing in the formula-section)

Correct?





More information about the SeqFan mailing list