A257089 a(n) = log_3 (A256689(n)).

0, 1, 1, 2, 1, 2, 1, 4, 2, 2, 1, 3, 1, 2, 2, 5, 1, 3, 1, 3, 2, 2, 1, 5, 2, 2, 4, 3, 1, 3, 1, 6, 2, 2, 2, 4, 1, 2, 2, 5, 1, 3, 1, 3, 3, 2, 1, 6, 2, 3, 2, 3, 1, 5, 2, 5, 2, 2, 1, 4, 1, 2, 3, 8, 2, 3, 1, 3, 2, 3, 1, 6, 1, 2, 3, 3, 2, 3, 1, 6, 5, 2, 1, 4, 2, 2, 2, 5, 1, 4, 2, 3, 2, 2, 2, 7, 1, 3, 3, 4

Offset

1,4

Comments

a(n) is the logarithm to the base 3 of the denominator of the Dirichlet series of zeta(s)^(1/3). For details, see A256689.

Links

Wolfgang Hintze, Table of n, a(n) for n = 1..500

Formula

3^a(n) = A256689(n). a(n) = A007949(A256689(n)).

Crossrefs

Cf. A046645 (k = 2, log_2), A257089 (k = 3, log_3), A257090 (k = 4, log_2), A257091 (k = 5, log_5).

Sequence in context: A034693 A216506 A072342 * A328892 A296131 A345344

Adjacent sequences: A257086 A257087 A257088 * A257090 A257091 A257092

Keyword

nonn

Author

Wolfgang Hintze, Apr 16 2015

Status

approved