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 A382376 #12 Mar 26 2025 17:49:13 %S A382376 1,2,6,3,10,4,12,5,14,7,15,8,18,9,20,11,21,13,22,16,24,17,26,19,28,23, %T A382376 33,25,34,27,35,29,36,30,38,31,39,32,40,37,44,41,45,42,46,43,48,47,50, %U A382376 49,51,53,52,59,54,60,55,61,56,64,57,66,58,67,62,70,63 %N A382376 Lexicographically earliest sequence of distinct positive integers such that the number of distinct prime factors of adjacent terms differ exactly by one. %C A382376 All primorial numbers appear in the sequence (we can use similar arguments as for A382357). %C A382376 Conjecture: this sequence is a permutation of the positive integers. %H A382376 Rémy Sigrist, <a href="/A382376/b382376.txt">Table of n, a(n) for n = 1..10000</a> %H A382376 Rémy Sigrist, <a href="/A382376/a382376.gp.txt">PARI program</a> %e A382376 The initial terms are: %e A382376 n a(n) A001221(a(n)) %e A382376 -- ---- ------------- %e A382376 1 1 0 %e A382376 2 2 1 %e A382376 3 6 2 %e A382376 4 3 1 %e A382376 5 10 2 %e A382376 6 4 1 %e A382376 7 12 2 %e A382376 8 5 1 %e A382376 9 14 2 %e A382376 10 7 1 %e A382376 11 15 2 %e A382376 12 8 1 %e A382376 13 18 2 %e A382376 14 9 1 %e A382376 15 20 2 %o A382376 (PARI) \\ See Links section. %Y A382376 Cf. A001221, A382357, A382374, A382377. %K A382376 nonn %O A382376 1,2 %A A382376 _Rémy Sigrist_, Mar 23 2025