A382822 If a(n-1) is odd, then a(n) is the smallest even integer not yet in the sequence; if a(n-1) is even, then a(n) = a(n-1)/2 if this number is not in the sequence, otherwise a(n) = 3*a(n-1)/2; a(1)=1.

1, 2, 3, 4, 6, 9, 8, 12, 18, 27, 10, 5, 14, 7, 16, 24, 36, 54, 81, 20, 30, 15, 22, 11, 26, 13, 28, 42, 21, 32, 48, 72, 108, 162, 243, 34, 17, 38, 19, 40, 60, 90, 45, 44, 66, 33, 46, 23, 50, 25, 52, 78, 39, 56, 84, 126, 63, 58, 29, 62, 31, 64, 96, 144, 216, 324, 486, 729, 68, 102, 51, 70, 35, 74, 37, 76, 114, 57

Offset: 1

Author

Enrique Navarrete, Apr 15 2025

Keywords

• nonn

Comments

Less repetitive than A350877 (the Sisyphus sequence); presumably a permutation of the positive integers.

Fixed points are 1, 2, 3, 4, 20, 38, 40, 44, 58, 74, 76, 86, 88, 92, 106, ,,., which, aside from 3, all seem to be even.

Largest runs of even terms seem to be of length 6, the first one of which appears at a(62)=64.

Crossrefs

Cf. A350877.