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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.

A378037 First differences of A112926 (smallest squarefree integer > prime(n)).

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%I A378037 #8 Dec 04 2024 15:44:10
%S A378037 2,1,4,3,1,5,2,5,4,3,5,4,4,5,4,6,1,7,4,1,8,3,6,10,1,3,4,1,4,15,4,5,3,
%T A378037 10,3,4,7,5,4,7,1,11,1,5,2,12,13,3,1,5,6,5,7,5,7,6,2,5,4,3,10,14,4,1,
%U A378037 4,16,5,10,4,1,8,8,4,7,4,5,8,4,8,11,1,11,1
%N A378037 First differences of A112926 (smallest squarefree integer > prime(n)).
%t A378037 Differences[Table[NestWhile[#+1&,Prime[n]+1,!SquareFreeQ[#]&],{n,100}]]
%Y A378037 First differences of A112926, restriction of A067535, differences A378087.
%Y A378037 For prime powers we have A377703.
%Y A378037 The nonsquarefree version is A377784 (differences of A377783), restriction of A378039.
%Y A378037 The nonsquarefree opposite is A378034, first differences of A378032.
%Y A378037 The opposite is A378038, differences of A112925.
%Y A378037 The unrestricted opposite is A378085 except first term, differences of A070321.
%Y A378037 A000040 lists the primes, differences A001223, seconds A036263.
%Y A378037 A005117 lists the squarefree numbers.
%Y A378037 A013929 lists the nonsquarefree numbers, differences A078147, seconds A376593.
%Y A378037 A061398 counts squarefree numbers between primes, zeros A068360.
%Y A378037 A061399 counts nonsquarefree numbers between primes, zeros A068361.
%Y A378037 Cf. A007674, A013928, A045882, A053797, A053806, A072284, A073247, A120327, A280892, A378036, A378040, A378084.
%K A378037 nonn
%O A378037 1,1
%A A378037 _Gus Wiseman_, Dec 04 2024