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 A351097 #12 Feb 04 2022 22:36:48 %S A351097 0,0,0,0,0,1,0,-1,-1,0,0,0,0,0,0,-3,0,1,0,2,1,1,0,-1,0,1,1,-1,0,0,0, %T A351097 -2,1,2,1,0,0,2,1,-1,0,1,0,1,-1,3,0,-1,0,0,2,2,0,0,1,0,2,0,0,1,0,0,1, %U A351097 0,2,1,0,0,3,3,0,2,0,0,2,1,2,1,0,1,-1,1,0,2,2,1,0,1,0,2,2,1,1,2,3,-3,0,0,0,2,0,2,0,2,1 %N A351097 Difference between {the maximal digit value in primorial base expansion of the arithmetic derivative of n} and {the maximal exponent in the prime factorization of n}. %H A351097 Antti Karttunen, <a href="/A351097/b351097.txt">Table of n, a(n) for n = 1..30030</a> %F A351097 a(n) = A328390(n) - A051903(n) = A051903(A327859(n)) - A051903(n). %o A351097 (PARI) %o A351097 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); %o A351097 A051903(n) = if((1==n),0,vecmax(factor(n)[, 2])); %o A351097 A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); }; %o A351097 A327859(n) = A276086(A003415(n)); %o A351097 A351097(n) = (A051903(A327859(n)) - A051903(n)); %Y A351097 Cf. A003415, A051903, A276086, A327859, A328390, A351098 (positions of negative terms), A351099. %Y A351097 Cf. also A350074, A351074. %K A351097 sign %O A351097 1,16 %A A351097 _Antti Karttunen_, Feb 03 2022