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 A337498 #23 Sep 26 2020 11:40:30 %S A337498 0,2,5,6,11,13,17,18,23,25,29,31,37,41,42,47,53,54,59,61,65,67,71,73, %T A337498 79,83,85,89,95,97,101,103,107,109,113,121,125,127,131,137,139,145, %U A337498 149,151,155,157,162,167,169,173,179,181,185,191,193,197,199,205,209,211,215,221,223,227,229 %N A337498 a(0) = 0; for n>0, a(n) = the smallest positive integer m not yet in the sequence with property that none of the numbers in row m of A193829 have occurred previously in the sequence. %C A337498 The vast majority of terms are odd - in the first one million terms only 74 even numbers appear. Interestingly most of those even number appear in A014741, although that sequence contains many even numbers that do not appear here, e.g. 126, while this sequence contains even numbers not appearing in that sequence, e.g. 326. %e A337498 a(1) = 2 as the consecutive divisors of 2 are 1,2 the difference of which is 1, which has not occurred previously in the sequence. %e A337498 a(2) = 5. The consecutive divisors of 3 are 1,3, the difference of which is 2, but a(1) = 2 so 3 cannot appear. The consecutive divisors of 4 are 1,2,4, the differences of which are 1,2, but a(1) = 2 so 4 cannot appear. The consecutive divisors of 5 are 1,5, the difference of which is 4 and as 4 has not occurred previously in the sequence a(2) = 5. %e A337498 a(3) = 6 as the consecutive divisors of 6 are 1,2,3,6, the differences of which are 1,1,3, and as neither 1 or 3 has occurred previously a(3) = 6. %e A337498 a(4) = 11. The divisors of 7 are 1,7 with a difference of 6, the divisors of 8 are 1,2,4,8 with differences 1,2,4, the divisors of 9 are 1,3,9 with differences 2,6, and the divisors of 10 are 1,2,5,10, with differences 1,3,5. All of 6,2,2,5 have all occurred previously in the sequence. The divisors of 11 are 1,11 with a difference of 10, which has not occurred previously so a(4) = 11. %Y A337498 Cf. A027750, A193829, A014741. %K A337498 nonn %O A337498 0,2 %A A337498 _Scott R. Shannon_, Sep 26 2020