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%I #16 Sep 16 2021 14:08:16
%S 1,1,5,22,119,713,5039,40296,362874,3628679,39916799,479000858,
%T 6227020799,87178286159,1307674367875,20922789847680,355687428095999,
%U 6402373705364406,121645100408831999,2432902008173011178
%N Moebius transform of n!.
%C n=5, f[5]=120, divisors={1,5} f[5/d]={120,1}, mu[d]={1,-1}, the sum is 120-1=119=a(5)
%H Seiichi Manyama, <a href="/A062794/b062794.txt">Table of n, a(n) for n = 1..449</a>
%F a(n) = Sum{f[n/d]*mu[d]}, where d|n and f[x]=A000142(x).
%F a(n) ~ n!. - _Vaclav Kotesovec_, Sep 16 2021
%o (PARI) a(n) = sumdiv(n, d, d!*moebius(n/d)); \\ _Michel Marcus_, Nov 04 2018
%Y Cf. A000142, A008683.
%K nonn
%O 1,3
%A _Labos Elemer_, Jul 19 2001