A318474 Multiplicative with a(p^e) = 2^A000045(e+1).

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, 256, 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, 8192, 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, 512, 2, 8, 8, 16, 2, 8, 2, 16, 8

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^A318473(n).

a(n) = A318472(A064549(n)).

a(A064549(n)) = a(n)*A318472(n).

Mathematica

Array[Apply[Times, 2^Fibonacci[# + 1] & /@ FactorInteger[#][[All, -1]]] - Boole[# == 1] &, 105] (* Michael De Vlieger, Sep 02 2018 *)

Prog

(PARI) A318474(n) = factorback(apply(e -> 2^fibonacci(1+e), factor(n)[, 2]));

Crossrefs

Cf. A000045, A318465, A318472, A318473.

Sequence in context: A165872 A061142 A318312 * A326306 A366196 A278525

Adjacent sequences: A318471 A318472 A318473 * A318475 A318476 A318477

Keyword

nonn,mult

Author

Antti Karttunen, Aug 29 2018

Status

approved