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a(n) = Product_{d|n} A276086(d)^A001221(n/d).
5

%I #5 Nov 12 2019 19:21:08

%S 1,2,2,6,2,72,2,54,12,216,2,9720,2,120,432,810,2,64800,2,262440,240,

%T 1080,2,32805000,36,600,360,243000,2,28343520000,2,182250,2160,5400,

%U 720,27337500000,2,3000,1200,13286025000,2,72900000000,2,32805000,11664000,27000,2,69198046875000,20,218700000,10800,30375000,2,911250000000,6480,184528125000,6000

%N a(n) = Product_{d|n} A276086(d)^A001221(n/d).

%H Antti Karttunen, <a href="/A329380/b329380.txt">Table of n, a(n) for n = 1..8192</a>

%F a(n) = Product_{d|n} A276086(d)^A001221(n/d).

%F A276085(a(n)) = A323599(n).

%o (PARI)

%o A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

%o A329380(n) = { my(m=1); fordiv(n,d,m *= A276086(d)^omega(n/d)); (m); };

%Y Cf. A001221, A276085, A276086, A323599, A329381 (rgs-transform).

%Y Cf. also A329350.

%K nonn

%O 1,2

%A _Antti Karttunen_, Nov 12 2019