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 A348185 #17 Jan 06 2022 15:09:16
%S A348185 406,861,39621,2166321,3924201,11146281,14804961,19198306,73951041,
%T A348185 83417986,97951006,209643526,310415986,522339681,526225461,583333246,
%U A348185 611153241,801460666,1601581906,2520251506,2690954841,4455349606,6681853401,9895642221,13878029901
%N A348185 Smallest number k in a set of three consecutive triangular numbers that are sphenic.
%C A348185 a(2)-a(9) from Chuck Gaydos.
%H A348185 Chris K. Caldwell and G. L. Honaker, Jr., <a href="https://primes.utm.edu/curios/page.php/406.html">Prime Curio for 406</a>
%e A348185 a(1)=406 because 406 is the smallest number in the first set of three consecutive triangular numbers that are sphenic, i.e., {406=2*7*29, 435=3*5*29, 465=3*5*31}.
%t A348185 t[n_] := n*(n+1)/2; spQ[n_] := FactorInteger[n][[;;,2]] == {1,1,1}; Select[Partition[t /@ Range[170000], 3, 1], AllTrue[#, spQ] &][[;; , 1]] (* _Amiram Eldar_, Oct 06 2021 *)
%Y A348185 Cf. A000217 (triangular numbers), A007304 (sphenic numbers), A128896 (sphenic triangular numbers). Subsequence of A349696.
%K A348185 nonn
%O A348185 1,1
%A A348185 _G. L. Honaker, Jr._, Oct 05 2021
%E A348185 a(10)-a(25) from _Alois P. Heinz_, Oct 05 2021