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 A378085 #6 Dec 04 2024 10:16:35
%S A378085 1,1,0,2,1,1,0,0,3,1,0,2,1,1,0,2,0,2,0,2,1,1,0,0,3,0,0,3,1,1,0,2,1,1,
%T A378085 0,2,1,1,0,2,1,1,0,0,3,1,0,0,0,4,0,2,0,2,0,2,1,1,0,2,1,0,0,3,1,1,0,2,
%U A378085 1,1,0,2,1,0,0,3,1,1,0,0,3,1,0,2,1,1,0
%N A378085 First differences of A070321 (greatest squarefree number <= n).
%e A378085 The greatest squarefree number <= 50 is 47, and the greatest squarefree number <= 51 is 51, so a(51) = 4.
%t A378085 Differences[Table[NestWhile[#-1&,n,#>1&&!SquareFreeQ[#]&],{n,100}]]
%Y A378085 Ones are A007674.
%Y A378085 Zeros are A013929 - 1.
%Y A378085 Twos are A280892.
%Y A378085 Positions of first appearances are A020755 - 1 (except first term).
%Y A378085 First-differences of A070321.
%Y A378085 The nonsquarefree restriction is A378034, differences of A378032.
%Y A378085 For nonsquarefree numbers we have A378036, differences of A378033.
%Y A378085 The opposite restriction to primes is A378037, differences of A112926.
%Y A378085 The restriction to primes is A378038, differences of A112925.
%Y A378085 The nonsquarefree opposite is A378039, restriction A377784.
%Y A378085 The opposite version is A378087.
%Y A378085 A005117 lists the squarefree numbers.
%Y A378085 A013929 lists the nonsquarefree numbers, differences A078147, seconds A376593.
%Y A378085 Cf. A013928, A020754, A045882, A053797, A053806, A067535, A068781, A072284, A073247, A073248, A120327.
%K A378085 nonn
%O A378085 1,4
%A A378085 _Gus Wiseman_, Dec 04 2024