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 A308532 #14 Nov 30 2020 10:57:33 %S A308532 1,2,6,60,360,73513440,1396755360,4497552259200,130429015516800, %T A308532 149602080797769600,4488062423933088000,6133685312708553600, %U A308532 184010559381256608000,7912454053394034144000,19709923047004539052704000,1162885459773267804109536000,780296143507862696557498656000 %N A308532 Highly composite numbers (A002182) with a record number of largely composite numbers (A067128) having the same number of divisors. %C A308532 The corresponding record numbers of divisors d(a(n)) are 1, 2, 3, 6, 9, 10, 11, 14, 16, 20, ... (see the link for more values). %H A308532 Amiram Eldar, <a href="/A308532/b308532.txt">Table of n, a(n) for n = 1..25</a> %H A308532 Amiram Eldar, <a href="/A308532/a308532.txt">Table of n, a(n), d(a(n)) for n = 1..25</a> %e A308532 6 is in the sequence since there are a record number of 3 largely composite numbers, 6, 8, and 10 with the same number of divisors. The next record is of 60, with 6 largely composite numbers, 60, 72, 84, 90, 96, and 108, with the same number of divisors. %t A308532 s = {}; dm = 1; c = 0; cm = 0; nprev = 1; Do[d = DivisorSigma[0, n]; If[d == dm, c++]; If[d > dm, dm = d; If[c > cm, cm = c; AppendTo[s, nprev]]; c = 1; nprev = n], {n, 1, 10^3}]; s %Y A308532 Cf. A000005, A002182, A067128, A308530. %K A308532 nonn %O A308532 1,2 %A A308532 _Amiram Eldar_, Jun 06 2019