A362026 Smallest unhappy number in base A161874(n).

3, 7, 3, 5, 20, 3, 12, 3, 3, 14, 3, 3, 3, 3, 3, 3, 23, 3, 23, 3, 261, 6, 12

Offset

1,1

Comments

This sequence is the list of least unhappy numbers (A161872) with all terms < 3 removed.

Links

Table of n, a(n) for n=1..23.

Lucas A. Brown, C program.

Formula

a(n) = A161872(A161874(n)).

Example

The first term in this sequence corresponds to base 16.  In base 16, 2 is happy because the sequence it generates is 2 -> 4 -> (1,0) -> 1, while 3 is unhappy because the sequence it generates is 3 -> 9 -> (5,1) -> (1,10) -> (6,5) -> (3,13) -> (11,2) -> (7,13) -> (13,10) -> (1,0,13) -> (10,10) -> (12,8) -> (13,0) -> (10,9) -> (11,5) -> (9,2) -> (5,5) -> (3,2) -> (0,13) -> (10,9) -> ..., which repeats with period 6.

Crossrefs

Cf. A031177, A161872, A161874.

Sequence in context: A193534 A096247 A337013 * A122583 A001265 A060443

Adjacent sequences: A362023 A362024 A362025 * A362027 A362028 A362029

Keyword

nonn,base,more

Author

Lucas A. Brown, Apr 26 2023

Status

approved