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A168649 a(n) = (1/n)*Sum_{d|n} moebius(d)*2^(n^2/d). 0
2, 6, 168, 16320, 6710880, 11453201760, 80421421917312, 2305843008676823040, 268650182136584246132736, 126765060022822827559679531520, 241677817415439249618874010960062464, 1858395433210885261794249658823668075069440 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = (1/n)*Sum_{d|n} moebius(n/d)*(2^n)^d.
MATHEMATICA
a[n_] := DivisorSum[n, MoebiusMu[#] * 2^(n^2/#) &] / n; Array[a, 10] (* Amiram Eldar, Aug 18 2023 *)
PROG
(PARI) a(n)=(1/n)*sumdiv(n, d, moebius(d)*2^(n^2/d))
CROSSREFS
Sequence in context: A281819 A329980 A199482 * A135937 A182523 A137532
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Dec 01 2009
EXTENSIONS
a(12) from Amiram Eldar, Aug 18 2023
STATUS
approved

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)