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 A324277 #14 Mar 08 2023 16:05:58 %S A324277 2,3,4,5,38,68,80,128,158,164,188,192,206,212,224,278,290,308,326,368, %T A324277 380,398,416,432,458,518,530,536,542,548,578,584,600,626,632,692,702, %U A324277 710,752,758,770,782,788,818,822,836,852,872,896,902,926,938,968,998 %N A324277 Infinitary untouchable numbers: numbers that are not the sum of aliquot infinitary divisors of any number. %H A324277 Amiram Eldar, <a href="/A324277/b324277.txt">Table of n, a(n) for n = 1..2256</a> (terms below 30000) %t A324277 fun[p_, e_] := Module[{b = IntegerDigits[e, 2]}, m = Length[b]; Product[If[b[[j]] > 0, 1 + p^(2^(m - j)), 1], {j, 1, m}]]; isigma[1] = 1; isigma[n_] := isigma[n] = Times @@ (fun @@@ FactorInteger[n]); untouchableQ[n_] := Catch[ Do[ If[n == isigma[k]-k, Throw[True]], {k, 0, (n-1)^2}]] === Null; Reap[ Table[ If[ untouchableQ[n], Sow[n]], {n, 2, 1000}]][[2, 1]] (* after _Jean-François Alcover_ at A005114 *) %Y A324277 Cf. A049417, A126168, A005114, A063948 (unitary), A324276 (bi-unitary), A324278 (exponential). %K A324277 nonn %O A324277 1,1 %A A324277 _Amiram Eldar_, Feb 20 2019