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 A378038 #4 Dec 04 2024 15:40:38
%S A378038 1,1,3,4,1,4,2,5,4,4,5,4,3,4,5,7,1,7,4,1,7,4,5,8,2,5,4,1,4,12,7,4,4,8,
%T A378038 3,6,6,5,4,8,1,11,1,4,2,13,12,4,1,4,7,1,10,6,7,5,2,5,4,4,9,14,5,1,3,
%U A378038 16,5,11,1,2,9,8,5,6,5,4,9,4,8,11,1,11,1,7
%N A378038 First differences of A112925 = greatest squarefree number < prime(n).
%t A378038 Differences[Table[NestWhile[#-1&,Prime[n]-1,!SquareFreeQ[#]&],{n,100}]]
%Y A378038 First differences of A112925, restriction of A070321, differences A378085.
%Y A378038 For prime powers we have A377781, opposite A377703.
%Y A378038 The nonsquarefree opposite is A377784 (differences of A377783), restriction of A378039.
%Y A378038 The nonsquarefree version is A378034, first differences of A378032.
%Y A378038 The opposite is A378037, differences of A112926.
%Y A378038 The unrestricted opposite is A378087, differences of A067535.
%Y A378038 A000040 lists the primes, differences A001223, seconds A036263.
%Y A378038 A005117 lists the squarefree numbers.
%Y A378038 A013929 lists the nonsquarefree numbers, differences A078147, seconds A376593.
%Y A378038 A061398 counts squarefree numbers between primes, zeros A068360.
%Y A378038 A061399 counts nonsquarefree numbers between primes, zeros A068361.
%Y A378038 Cf. A007674, A013928, A045882, A053797, A053806, A072284, A073247, A120327, A280892, A378036, A378040, A378084.
%K A378038 nonn
%O A378038 1,3
%A A378038 _Gus Wiseman_, Dec 04 2024