cp's OEIS Frontend

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.

%I A382822 #30 Apr 23 2025 10:21:41
%S A382822 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,
%T A382822 28,42,21,32,48,72,108,162,243,34,17,38,19,40,60,90,45,44,66,33,46,23,
%U A382822 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
%N 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.
%C A382822 Less repetitive than A350877 (the Sisyphus sequence); presumably a permutation of the positive integers.
%C A382822 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.
%C A382822 Largest runs of even terms seem to be of length 6, the first one of which appears at a(62)=64.
%Y A382822 Cf. A350877.
%K A382822 nonn
%O A382822 1,2
%A A382822 _Enrique Navarrete_, Apr 15 2025