[seqfan] Moebius-transform of A005187 ?

Antti Karttunen antti.karttunen at gmail.com
Sat Mar 10 19:10:26 CET 2018

Consider the sequences A035532 and A297111:


The latter is Moebius-transform of A005187 I recently submitted, while from
the formula-section of the former: G.f.: Sum A005187(n) x^n = Sum
it seems to me that it also claims to be Möbius-transform of A005187. (See
However, the sequences differ for the first time at n=15, although even
after that they seem to contain many identical terms.

(Moreover, is there an indexing mismatch in Zumkeller's formula a(n) =
2*A000010(n) - A010051(n)*A048881(n) ?)

Now, I just wonder where this "slightly flawed" insight in A035532 stems
from, and on what specific n it fails: 15, 21, 25, 27, 33, 35, 51,  ...
(where two sequences differ, "manually tallied" so beware) and why?

Best regards,


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