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URL: https://oeis.org/A353564

⇱ A353564 - OEIS

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A353564
Product_{d|n, d<n} A276086(phi(d)), where A276086 is primorial base exp-function, and phi is Euler totient function.
5
1, 2, 2, 4, 2, 12, 2, 12, 6, 36, 2, 108, 2, 20, 54, 108, 2, 180, 2, 972, 30, 180, 2, 8748, 18, 100, 30, 300, 2, 43740, 2, 1620, 270, 900, 90, 24300, 2, 500, 150, 131220, 2, 22500, 2, 24300, 4050, 4500, 2, 1968300, 10, 121500, 1350, 7500, 2, 112500, 810, 67500, 750, 22500, 2, 265720500, 2, 28, 3750, 364500, 450
OFFSET
1,2
FORMULA
a(1) = 1 (as an empty product).
a(n) = Product_{d|n, d<n} A353563(d).
For all n >= 1, A276085(a(n)) = A051953(n).
PROG
(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A353564(n) = { my(m=1); fordiv(n, d, if(d < n, m *= A276086(eulerphi(d)))); m; };
CROSSREFS
Cf. A000010, A051953, A276085, A276086, A353563, A353565 (rgs-transform).
Cf. also A318834.
Sequence in context: A296071 A319342 A318834 * A067228 A356543 A332002
KEYWORD
nonn
AUTHOR
Antti Karttunen, Apr 27 2022
STATUS
approved