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 A159034 Inverse Euler transform of A155200. 2

%I

%S 2,7,170,16380,6710886,11453246035,80421421917330,2305843009213685760,

%T 268650182136584261045760,126765060022822940149666965093,

%U 241677817415439249618874010960062650,1858395433210885261794643189387357732203180,57560679870263253393868202642364377389525958615670

%N Inverse Euler transform of A155200.

%H Andrew Howroyd, <a href="/A159034/b159034.txt">Table of n, a(n) for n = 1..50</a>

%F a(n) = (1/n)*Sum_{d|n} 2^(d^2)*moebius(n/d).

%F a(n) ~ 2^(n^2) / n. - _Vaclav Kotesovec_, Oct 09 2019

%t Table[Sum[2^(d^2)*MoebiusMu[n/d], {d, Divisors[n]}]/n, {n, 1, 12}] (* _Vaclav Kotesovec_, Oct 09 2019 *)

%o (PARI) a(n)={sumdiv(n, d, 2^(d^2)*moebius(n/d))/n} \\ _Andrew Howroyd_, Jan 08 2020

%Y Cf. A155200.

%K easy,nonn

%O 1,1

%A _Paul D. Hanna_, _Vladeta Jovovic_, Apr 02 2009

%E Terms a(12) and beyond from _Andrew Howroyd_, Jan 08 2020

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Last modified May 12 13:46 EDT 2021. Contains 343823 sequences. (Running on oeis4.)