A380459 a(n) = Product_{d|n} A276086(d)^A349394(n/d).

1, 2, 2, 12, 2, 18, 2, 1296, 48, 54, 2, 1620, 2, 30, 108, 25194240, 2, 4050, 2, 131220, 60, 270, 2, 12150000, 576, 150, 3317760, 67500, 2, 33750, 2, 142818689064960000, 540, 1350, 180, 2050312500, 2, 750, 300, 1195742250000, 2, 281250, 2, 82012500, 26244000, 6750, 2, 92264062500000000, 1280, 13668750, 2700, 42187500, 2

Offset: 1

Author

Antti Karttunen, Jan 31 2025

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..2047
• Index entries for sequences related to primorial base.

Crossrefs

Cf. A003415, A276085, A276086, A349394, A380460 (rgs-transform).

Cf. also A329350, A329380.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A349394(n) = { my(p=0, e); if((e=isprimepower(n, &p)), p^(e-1), 0); };
A380459(n) = { my(m=1); fordiv(n, d, m *= A276086(d)^A349394(n/d)); (m); };

Formula

For n >= 1, A276085(a(n)) = A003415(n).