[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?
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