%I
%S 7,8,16,17,19,20,34,35,43,44,46,47,55,56,88,89,97,98,100,101,115,116,
%T 124,125,127,128,136,137,163,164,250,251,259,260,262,263,277,278,286,
%U 287,289,290,298,299,331,332,340,341,343,344,358,359,367,368,370,371,379,380,406,407,487,488,736,737,745,746,748,749
%N The third greedy 3free sequence on nonnegative integers.
%C Consider the lexicographically earliest sequence of nonnegative integers that does not contain the arithmetic mean of any pair of terms (such sequences are called 3free sequences as they do not contain 3term arithmetic progressions): 0,1,3,4 and so on. This sequence is Stanley sequence S(0,1). Remove numbers in the Stanley sequence from nonnegative integers and repeat the process of finding the next earliest 3free sequence, which is sequence A323398. We get this sequence on the next iteration.
%C When represented in ternary this sequence consists of integers ending in 1 or 2, and there is exactly one digit 2 before that that might be followed by zeros.
%Y Cf. A005836, A074940, A323398, A323419.
%K nonn
%O 1,1
%A _Tanya Khovanova_ and PRIMES STEP Junior, Jan 14 2019
