A329350 a(n) = Product_{d|n} A276086(d)^A010051(n/d).

1, 2, 2, 3, 2, 18, 2, 9, 6, 54, 2, 45, 2, 30, 108, 15, 2, 150, 2, 405, 60, 270, 2, 375, 18, 150, 30, 675, 2, 33750, 2, 225, 540, 1350, 180, 3125, 2, 750, 300, 5625, 2, 281250, 2, 10125, 4500, 6750, 2, 140625, 10, 56250, 2700, 16875, 2, 468750, 1620, 84375, 1500, 33750, 2, 65625, 2, 42, 22500, 21, 900, 236250, 2, 567, 13500, 425250, 2, 21875

Offset: 1

Author

Antti Karttunen, Nov 12 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..8192

Crossrefs

Cf. A010051, A069359, A276085, A276086, A329351 (rgs-transform).

Cf. also A329352, A329380.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A329350(n) = { my(m=1); fordiv(n,d,if(isprime(n/d), m *= A276086(d))); (m); };

Formula

a(n) = Product_{d|n} A276086(d)^A010051(n/d).

A276085(a(n)) = A069359(n).