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 A330813 #9 Nov 16 2021 07:20:12 %S A330813 1,2,4,6,8,12,18,24,36,48,60,72,96,120,144,168,180,240,336,360,480, %T A330813 600,630,672,720,840,1080,1260,1440,1680,2160,2520,3360,4320,5040, %U A330813 7560,10080,15120,20160,25200,27720,30240,40320,45360,50400,55440,60480,75600,83160 %N A330813 Numbers k that are Niven numbers in a record number of bases 1 <= b <= k. %C A330813 Indices of records of A080221. %H A330813 Amiram Eldar, <a href="/A330813/b330813.txt">Table of n, a(n) for n = 1..64</a> %e A330813 4 is a term since it is a Niven number in 4 bases: 1, 2, 3, 4, while the numbers below 4 are Niven numbers in less than 4 bases. %t A330813 nivenQ[n_, b_] := Divisible[n, Total @ IntegerDigits[n, b]]; basesCount[n_] := 1 + Sum[Boole @ nivenQ[n, b], {b, 2, n}]; bmax = 0; seq = {}; Do[b = basesCount[n]; If[b > bmax ,bmax = b; AppendTo[seq,n]],{n,1,1000}];seq %Y A330813 Cf. A005349, A049445, A080221. %K A330813 nonn,base %O A330813 1,2 %A A330813 _Amiram Eldar_, Jan 01 2020