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 A375658 #14 Aug 25 2024 02:49:20 %S A375658 1,6,6,6,6,6,6,6,103327500,1977230170,214596675756,2796022463625, %T A375658 32291440570378,32291440570378,549091407981061,4680505857819681, %U A375658 96914999755056255,96914999755056255 %N A375658 The smallest triangular number that begins a run of at least n consecutive triangular numbers with the same number of distinct prime factors. %e A375658 a(8) = 6 because 6 is the smallest triangular number that begins a run of 8 consecutive triangular numbers (6, 10, 15, 21, 28, 36, 45, 55) with the same number of distinct prime factors, i.e. 2. %e A375658 a(9) = 103327500 because 103327500 is the smallest triangular number that begins a run of 9 consecutive triangular numbers (103327500, 103341876, 103356253, 103370631, 103385010, 103399390, 103413771, 103428153, 103442536) with the same number of distinct prime factors, i.e. 5. %Y A375658 Cf. A000217, A069903, A076551. %Y A375658 Cf. A375657. %K A375658 nonn,hard,more %O A375658 1,2 %A A375658 _Shyam Sunder Gupta_, Aug 23 2024