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 A368899 #22 Jan 14 2024 09:02:19 %S A368899 1,2,33,19940,136824,630772,30530822 %N A368899 Least integer which begins n consecutive integers with the same prime tower factorization tree. %C A368899 The (unordered) prime tower tree for k having prime factorization k = Product p[i]^e[i] comprises a root vertex and beneath it child subtrees with tree numbers e[i]. %C A368899 a(n) is the smallest k such that A369015(k) = A369015(k+i) for 1 <= i < n. %C A368899 a(n) <= A034173(n) since it demands equal exponents but here they only have to be isomorphic. %H A368899 Roberto Conti, Pierluigi Contucci, and Vitalii Iudelevich, <a href="https://arxiv.org/abs/2401.03278">Bounds on tree distribution in number theory</a>, arXiv:2401.03278 [math.NT], 2023. See Section 5 (p. 13). %H A368899 Roberto Conti and Pierluigi Contucci, <a href="https://arxiv.org/abs/2204.08982">A ℕatural Avenue</a>, arXiv:2204.08982 [math.NT], 2023. %e A368899 For n=5, a(5) = 136824 = 2^3 * 3^1 * 5701^1 has tree structure %e A368899 136824 %e A368899 / | \ %e A368899 3 1 1 %e A368899 | %e A368899 1 %e A368899 The structures of the 5 numbers 136824, ..., 136828 are isomorphic as rooted trees, for example %e A368899 136826 %e A368899 / | \ %e A368899 1 2 1 %e A368899 | %e A368899 1 %Y A368899 Cf. A034173, A369015. %K A368899 nonn,more %O A368899 1,2 %A A368899 _Roberto Conti_, Jan 09 2024