A257091 -id:A257091 - cp's OEIS frontend

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

Wolfgang Hintze, Apr 16 2015

nonn

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.

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

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

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

A257090 a(n) = log_2 (A256691(n)).

Original entry on oeis.org

0, 2, 2, 5, 2, 4, 2, 7, 5, 4, 2, 7, 2, 4, 4, 11, 2, 7, 2, 7, 4, 4, 2, 9, 5, 4, 7, 7, 2, 6, 2, 13, 4, 4, 4, 10, 2, 4, 4, 9, 2, 6, 2, 7, 7, 4, 2, 13, 5, 7, 4, 7, 2, 9, 4, 9, 4, 4, 2, 9, 2, 4, 7, 16, 4, 6, 2, 7, 4, 6, 2, 12, 2, 4, 7, 7, 4, 6, 2, 13, 11, 4, 2, 9, 4, 4, 4, 9, 2, 9, 4, 7, 4, 4, 4, 15, 2, 7, 7, 10

Offset: 1

Wolfgang Hintze, Apr 16 2015

nonn

a(n) is the logarithm to the base 2 of the denominator of the Dirichlet series of zeta(s)^(1/4). For details, see A256691.

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

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

2^a(n) = A256691(n).

cp's OEIS Frontend

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

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