A188901 Integers in the sequences (arithmetic derivative of k) divided by k.

0, 1, 2, 1, 3, 2, 4, 3, 2, 5, 4, 3, 1, 6, 5, 4, 2, 7, 3, 6, 5, 3, 8, 4, 2, 7, 6, 4, 9, 5, 3, 8, 4, 7, 5, 1, 10, 6, 4, 9, 5, 3, 8, 6, 2, 11, 7, 5, 10, 6, 4, 2, 9, 7, 3, 5, 12, 8, 6, 2, 11, 7, 5, 3, 10, 8, 4, 6, 4, 13, 9, 7, 3, 12, 8, 6, 4, 11

Offset

1,3

Comments

Integers in the sequence (k'/k) = A003415(k)/k. See A072873 for the values of k where k'/k is an integer.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000 (first 2500 terms from Nathaniel Johnston)

Example

1' = 0, 0/1 = 0 -> a(1) = 0;
4' = 4 ,4/4 = 1 -> a(2) = 1;
16' = 32, 32/16 = 2 -> a(3) = 2.

Crossrefs

Cf. A003415, A068311, A072873, A083346, A083346, A085731, A086130, A189100, A189102.

Sequence in context: A046823 A224989 A124876 * A171618 A344096 A253138

Adjacent sequences: A188898 A188899 A188900 * A188902 A188903 A188904

Keyword

nonn

Author

Giorgio Balzarotti, Apr 16 2011

Status

approved