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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.

A097020 Initial terms of chains consisting of four consecutive integers, for none of which is the value of sigma-function divisible by six.

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%I A097020 #5 Oct 21 2017 16:58:49
%S A097020 1,241,576,721,1249,2449,12481,23761,40897,65521,120049,126001,128016,
%T A097020 167041,186049,211248,211249,344449,374976,406801,417697,451249,
%U A097020 607201,647521,665856,708049,746641,766321,1039681,1068721,1092241,1146096
%N A097020 Initial terms of chains consisting of four consecutive integers, for none of which is the value of sigma-function divisible by six.
%C A097020 It is believed that in all of such quadruples remainder 3 always arises.
%e A097020 n=241: sigma-s for {241,242,243,244} are {242,399,364,434}
%e A097020 whose remainders modulo 6 are {2,3,4,2}.
%t A097020 SequencePosition[Table[If[Divisible[DivisorSigma[1,n],6],0,1],{n,12*10^5}],{1,1,1,1}][[All,1]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Oct 21 2017 *)
%Y A097020 Cf. A084301.
%K A097020 nonn
%O A097020 0,2
%A A097020 _Labos Elemer_, Aug 23 2004
%E A097020 Definition rephrased by _Harvey P. Dale_, Oct 21 2017