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 A358634 #11 Feb 16 2025 08:34:04
%S A358634 55,844,16652,844529772,243636414,36289272509
%N A358634 a(n) is the smallest number k such that n consecutive integers starting at k have the same number of n-gonal divisors.
%H A358634 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PolygonalNumber.html">Polygonal Number</a>
%H A358634 <a href="/index/Di#divisors">Index entries for sequences related to divisors of numbers</a>
%e A358634 16652 has 2 pentagonal divisors {1, 92}, 16653 has 2 pentagonal divisors {1, 5551}, 16654 has 2 pentagonal divisors {1, 22}, 16655 has 2 pentagonal divisors {1, 5}, and 16656 has 2 pentagonal divisors {1, 12}. These are the first 5 consecutive numbers with the same number of pentagonal divisors, so a(5) = 16652.
%Y A358634 Cf. A006558, A338628, A358044.
%K A358634 nonn,more,hard
%O A358634 3,1
%A A358634 _Ilya Gutkovskiy_, Nov 24 2022
%E A358634 a(6)-a(8) from _Martin Ehrenstein_, Dec 04 2022