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 A288798 #5 Jun 16 2017 22:22:09 %S A288798 1,2311,4621,331,2641,4951,121,2431,4741,451,2761,31,2341,4651,361, %T A288798 2671,4981,151,2461,4771,481,2791,61,2371,4681,391,2701,5011,181,2491, %U A288798 4801,511,2821,91,2401,4711,421,2731,5041,211,2521,4831,541,2851,5161,871,3181 %N A288798 Lexicographically earliest sequence of distinct positive terms such that the absolute difference of two consecutive terms has at least 5 distinct prime factors. %C A288798 Conjecturally: this sequence is a permutation of the natural numbers, and a(n) ~ n. %C A288798 This sequence is related to A280659: here we consider the absolute difference, there the sum, of consecutive terms. %H A288798 Rémy Sigrist, <a href="/A288798/b288798.txt">Table of n, a(n) for n = 1..25000</a> %H A288798 Rémy Sigrist, <a href="/A288798/a288798.gp.txt">PARI program for A288798</a> %e A288798 The first terms, alongside the primes p dividing |a(n) - a(n+1)|, are: %e A288798 n a(n) p %e A288798 -- ---- -------------- %e A288798 1 1 2, 3, 5, 7, 11 %e A288798 2 2311 2, 3, 5, 7, 11 %e A288798 3 4621 2, 3, 5, 11, 13 %e A288798 4 331 2, 3, 5, 7, 11 %e A288798 5 2641 2, 3, 5, 7, 11 %e A288798 6 4951 2, 3, 5, 7, 23 %e A288798 7 121 2, 3, 5, 7, 11 %e A288798 8 2431 2, 3, 5, 7, 11 %e A288798 9 4741 2, 3, 5, 11, 13 %e A288798 10 451 2, 3, 5, 7, 11 %e A288798 11 2761 2, 3, 5, 7, 13 %e A288798 12 31 2, 3, 5, 7, 11 %e A288798 13 2341 2, 3, 5, 7, 11 %e A288798 14 4651 2, 3, 5, 11, 13 %e A288798 15 361 2, 3, 5, 7, 11 %e A288798 16 2671 2, 3, 5, 7, 11 %e A288798 17 4981 2, 3, 5, 7, 23 %e A288798 18 151 2, 3, 5, 7, 11 %e A288798 19 2461 2, 3, 5, 7, 11 %e A288798 20 4771 2, 3, 5, 11, 13 %Y A288798 Cf. A280659. %K A288798 nonn %O A288798 1,2 %A A288798 _Rémy Sigrist_, Jun 16 2017