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 A144812 #25 May 19 2024 02:09:56
%S A144812 36990,37230,43350,45390,2149023720,2149218300,2149279740,2149513020,
%T A144812 2149527540,2149545960,2151079740,2151628020,2151662460,2151667320,
%U A144812 2152716540,2152720860,2152724280,2153463540,2154166200,2154948600,2155019220,2155051980,2155196340
%N A144812 Integers having ideal digital mean up to base 7.
%C A144812 Subset of A031443, A144798, A144799, A144800 and A144801.
%C A144812 These numbers have digital mean dm(b, n) = (Sum_{i=1..d} 2*d_i - (b-1)) / (2*d) = 0, where d is the number of digits in the base b representation of n and d_i the individual digits, for 2 <= b <= 7.
%C A144812 There are no integers less than 2^32 for which this is true to base 8. It is believed there are either infinitely many starting at some larger n, or none. If they exist, it is conjectured that the set of all similar sequences continues at least to base ten, almost certainly to base 16 and likely to arbitrarily large b. Sequences for b at least ten have an intersection with A144777.
%H A144812 Jason Yuen, <a href="/A144812/b144812.txt">Table of n, a(n) for n = 1..10000</a> (first 283 terms from Pontus von Brömssen)
%Y A144812 Cf. A007953, A008591, A031443, A144777, A144798, A144799, A144800, A144801, A364714.
%K A144812 base,nonn
%O A144812 1,1
%A A144812 _Reikku Kulon_, Sep 21 2008