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

Author

Lucas A. Brown, Apr 26 2023

Keywords

• nonn
• base
• more

Comments

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

Examples

			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.
		

Links

• Lucas A. Brown, C program.

Crossrefs

Cf. A031177, A161872, A161874.

Formula

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