This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A357989 #9 Oct 25 2022 03:35:10 %S A357989 0,3,6,9,15,24,29,43,58,53,18,68,298,399,71,373,2628,444,768,2304, %T A357989 6144,2631,441,3072,1604,10684,33348,1212,3908,11452,836,3075,1209, %U A357989 43264,98304,33351,3513,1607,10681,1675,3001,44476,4676,12288,3516,176128,524868 %N A357989 Lexicographically earliest sequence of distinct numbers such that every sum of consecutive terms is an evil number (A001969). %C A357989 This sequence has similarities with A357579; here we avoid odious numbers, there we avoid perfect powers. %C A357989 This sequence is well defined as we can always extend the sequence with an evil number whose binary expansion has no 1's in common with all sums of consecutive terms so far. %H A357989 Rémy Sigrist, <a href="/A357989/b357989.txt">Table of n, a(n) for n = 1..2000</a> %H A357989 Rémy Sigrist, <a href="/A357989/a357989.txt">C++ program</a> %e A357989 For n = 1: %e A357989 - 0 is evil, %e A357989 - so a(1) = 0. %e A357989 For n = 2: %e A357989 - 1 and 2 are odious, %e A357989 - 0 + 3 and 3 are evil, %e A357989 - so a(2) = 3. %e A357989 - For n = 3: %e A357989 - 4 is odious, %e A357989 - 3 + 5 is odious, %e A357989 - 0 + 3 + 6, 3 + 6 and 6 are evil, %e A357989 - so a(3) = 6. %o A357989 (C++) See Links section. %Y A357989 Cf. A000069, A001969, A357579. %K A357989 nonn,base %O A357989 1,2 %A A357989 _Rémy Sigrist_, Oct 23 2022