A318472 Multiplicative with a(p^e) = 2^A000045(e).

1, 2, 2, 2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 4, 8, 2, 4, 2, 4, 4, 4, 2, 8, 2, 4, 4, 4, 2, 8, 2, 32, 4, 4, 4, 4, 2, 4, 4, 8, 2, 8, 2, 4, 4, 4, 2, 16, 2, 4, 4, 4, 2, 8, 4, 8, 4, 4, 2, 8, 2, 4, 4, 256, 4, 8, 2, 4, 4, 8, 2, 8, 2, 4, 4, 4, 4, 8, 2, 16, 8, 4, 2, 8, 4, 4, 4, 8, 2, 8, 4, 4, 4, 4, 4, 64, 2, 4, 4, 4, 2, 8, 2, 8, 8

Offset: 1

Author

Antti Karttunen, Aug 29 2018

Keywords

• nonn
• mult

Links

• Antti Karttunen, Table of n, a(n) for n = 1..16384
• Index entries for sequences computed from exponents in factorization of n

Crossrefs

Cf. A000045, A318471, A318474.

Programs

PARI

A318472(n) = factorback(apply(e -> 2^fibonacci(e),factor(n)[,2]));

Formula

a(n) = 2^A318471(n).