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 A004607 #24 Mar 25 2023 08:18:46 %S A004607 1026,10098,10260,12420,41800,45696,100980,241824,448800,512946, %T A004607 685440,830568,4938136,6732000,9424800,12647808,13959680,14958944, %U A004607 17878998,25581600,28158165,32440716,36072320,55204500,74062944 %N A004607 Infinitary sociable numbers (smallest member of cycle). %C A004607 If n = Product p_i^a_i, d = Product p_i^c_i is an infinitary divisor of n if each c_i has a zero bit in its binary representation everywhere that the corresponding a_i does. %C A004607 From _Amiram Eldar_, Mar 25 2023: (Start) %C A004607 Analogous to A003416 with the sum of the aliquot infinitary divisors function (A126168) instead of A001065. %C A004607 Only cycles of length greater than 2 are here. Cycles of length 1 correspond to infinitary perfect numbers (A007357), and cycles of length 2 correspond to infinitary amicable pairs (A126169 and A126170). %C A004607 The corresponding cycles are of lengths 4, 4, 4, 6, 4, 4, 4, 4, 11, 6, 4, 6, 4, 11, 6, 23, 4, 4, 85, 4, 4, 4, 4, 4, 4, ... %C A004607 It is conjectured that there are no missing terms in the data, but it was not proven. For example, it is not known that the infinitary aliquot sequence that starts at 840 does not reach 840 again (see A361421). (End) %H A004607 Graeme L. Cohen, <a href="http://dx.doi.org/10.1090/S0025-5718-1990-0993927-5">On an integer's infinitary divisors</a>, Math. Comp. 54 (189) (1990) 395-411. %H A004607 J. O. M. Pedersen, <a href="http://62.198.248.44/aliquot/tables.htm">Tables of Aliquot Cycles</a>. %H A004607 J. O. M. Pedersen, <a href="http://web.archive.org/web/20140502102524/http://amicable.homepage.dk/tables.htm">Tables of Aliquot Cycles</a>. [Via Internet Archive Wayback-Machine] %H A004607 J. O. M. Pedersen, <a href="/A063990/a063990.pdf">Tables of Aliquot Cycles</a>. [Cached copy, pdf file only] %Y A004607 Cf. A001065, A003416, A007357, A126168, A126169, A126170, A361421. %K A004607 nonn,nice,more %O A004607 1,1 %A A004607 _N. J. A. Sloane_