A318312 Multiplicative with a(p^e) = 2^A000041(e).

1, 2, 2, 4, 2, 4, 2, 8, 4, 4, 2, 8, 2, 4, 4, 32, 2, 8, 2, 8, 4, 4, 2, 16, 4, 4, 8, 8, 2, 8, 2, 128, 4, 4, 4, 16, 2, 4, 4, 16, 2, 8, 2, 8, 8, 4, 2, 64, 4, 8, 4, 8, 2, 16, 4, 16, 4, 4, 2, 16, 2, 4, 8, 2048, 4, 8, 2, 8, 4, 8, 2, 32, 2, 4, 8, 8, 4, 8, 2, 64, 32, 4, 2, 16, 4, 4, 4, 16, 2, 16, 4, 8, 4, 4, 4, 256, 2, 8, 8, 16, 2, 8, 2, 16, 8, 4, 2, 32, 2, 8, 4, 64

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences computed from exponents in factorization of n

Formula

a(n) = 2^A008481(n).

Prog

(PARI) A318312(n) = factorback(apply(e -> 2^numbpart(e), factor(n)[, 2]));

Crossrefs

Cf. A000041, A008481.

Differs from A318474 for the first time at n=32, where a(32) = 128, while A318474(32) = 256.

Sequence in context: A328721 A165872 A061142 * A318474 A326306 A366196

Adjacent sequences: A318309 A318310 A318311 * A318313 A318314 A318315

Keyword

nonn,mult

Author

Antti Karttunen, Aug 30 2018

Status

approved