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 A334975 #4 May 18 2020 19:58:00 %S A334975 945,43065,46035,80535,354585,403095,430815,437745,442365,2305875, %T A334975 3525795,4404105,4891887,5388495,5927985,6126645,6220665,6375105, %U A334975 6537375,7853625,8109585,8731125,9071865,9338595,9784125,13241745,23760555,33381855,34592805,35642295 %N A334975 Odd infinitary admirable numbers: the odd terms of A334974. %C A334975 Of the first 10^4 infinitary admirable numbers only 9 are odd. %t A334975 fun[p_, e_] := Module[{b = IntegerDigits[e, 2], m}, m = Length[b]; Product[If[b[[j]] > 0, 1 + p^(2^(m - j)), 1], {j, 1, m}]]; isigma[1] = 1; isigma[n_] := Times @@ fun @@@ FactorInteger[n]; infDivQ[n_, 1] = True; infDivQ[n_, d_] := BitAnd[IntegerExponent[n, First /@ (f = FactorInteger[d])], (e = Last /@ f)] == e; infAdmQ[n_] := (ab = isigma[n] - 2 n) > 0 && EvenQ[ab] && ab/2 < n && Divisible[n, ab/2] && infDivQ[n, ab/2]; Select[Range[1, 5*10^5, 2], infAdmQ] %Y A334975 The infinitary version of A109729. %Y A334975 Intersection of A005408 and A334974. %Y A334975 Subsequence of A127666. %Y A334975 Cf. A329188, A334973. %K A334975 nonn %O A334975 1,1 %A A334975 _Amiram Eldar_, May 18 2020