A324910 Multiplicative with a(p^e) = (2^e)-1.

1, 1, 1, 3, 1, 1, 1, 7, 3, 1, 1, 3, 1, 1, 1, 15, 1, 3, 1, 3, 1, 1, 1, 7, 3, 1, 7, 3, 1, 1, 1, 31, 1, 1, 1, 9, 1, 1, 1, 7, 1, 1, 1, 3, 3, 1, 1, 15, 3, 3, 1, 3, 1, 7, 1, 7, 1, 1, 1, 3, 1, 1, 3, 63, 1, 1, 1, 3, 1, 1, 1, 21, 1, 1, 3, 3, 1, 1, 1, 15, 15, 1, 1, 3, 1, 1, 1, 7, 1, 3, 1, 3, 1, 1, 1, 31, 1, 3, 3, 9, 1, 1, 1, 7, 1

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Index entries for sequences computed from exponents in factorization of n

Formula

Multiplicative with a(p^e) = A000225(e).

Multiplicative with a(p^e) = A322993(p^e).

a(n) = A246674(A156552(n)).

Mathematica

Array[Times @@ (2^(FactorInteger[#][[All, -1]]) - 1) &, 105] (* Michael De Vlieger, Apr 14 2019 *)

Prog

(PARI) A324910(n) = factorback(apply(e -> -1+(2^e), factor(n)[, 2]~));

Crossrefs

Cf. A000225, A156552, A246674, A322993, A324911.

Sequence in context: A374126 A185587 A068845 * A257100 A152884 A360288

Adjacent sequences: A324907 A324908 A324909 * A324911 A324912 A324913

Keyword

nonn,mult

Author

Antti Karttunen, Apr 14 2019

Status

approved