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 A375657 #11 Aug 25 2024 02:49:27 %S A375657 1,6,6,6,724206,32365035,32365035,9127288495,497232340606, %T A375657 54524401634046,192541553136345,3119282531272578,1584264619108935753, %U A375657 34399764958387086910,34399764958387086910 %N A375657 The smallest triangular number that begins a run of at least n consecutive triangular numbers with the same number of prime factors (counted with multiplicity). %e A375657 a(4) = 6 because 6 is the smallest triangular number that begins a run of 4 consecutive triangular numbers (6, 10, 15, 21) with the same number of prime factors (counted with multiplicity), i.e. 2. %e A375657 a(5) = 724206 because 724206 is the smallest triangular number that begins a run of 5 consecutive triangular numbers (724206, 725410, 726615, 727821, 729028) with the same number of prime factors (counted with multiplicity), i.e. 5. %Y A375657 Cf. A000217, A069904, A075088. %Y A375657 Cf. A375658. %K A375657 nonn,hard,more %O A375657 1,2 %A A375657 _Shyam Sunder Gupta_, Aug 23 2024