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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.

A342026 Difference in the maximal prime exponents between the arithmetic derivative of A276086(n) and A276086(n) itself, which is the prime product form of primorial base expansion of n.

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%I A342026 #16 Mar 14 2021 20:42:41
%S A342026 -1,-1,0,-1,-1,-1,0,2,0,-1,-1,-1,0,-1,-1,2,-1,-1,-1,-1,-1,-1,-1,-1,-1,
%T A342026 -1,-1,-1,-1,-1,1,0,0,-1,-1,1,0,0,0,-1,-1,-1,-1,0,0,-1,-1,-1,-1,-1,-1,
%U A342026 -1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,-1,-1,-1,-1,-1,0,-1,1,-1,-1,-1,-1,-1,-1,-1,4,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1
%N A342026 Difference in the maximal prime exponents between the arithmetic derivative of A276086(n) and A276086(n) itself, which is the prime product form of primorial base expansion of n.
%H A342026 Antti Karttunen, <a href="/A342026/b342026.txt">Table of n, a(n) for n = 1..65537</a>
%H A342026 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%F A342026 a(n) = A328310(A276086(n)) = A328391(n) - A328114(n).
%F A342026 a(n) = -1 iff A342005(n) = 1.
%o A342026 (PARI)
%o A342026 A051903(n) = if((1==n), 0, vecmax(factor(n)[, 2]));
%o A342026 A327860(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };
%o A342026 A328391(n) = if(!n,n,A051903(A327860(n)));
%o A342026 A328114(n) = { my(s=0, p=2); while(n, s = max(s, (n%p)); n = n\p; p = nextprime(1+p)); (s); };
%o A342026 A342026(n) = (A328391(n) - A328114(n));
%Y A342026 Cf. A003415, A276086, A342005, A327860, A328114, A328310, A328391, A342006 (positions of nonnegative terms).
%Y A342026 Cf. also A342016, A342019.
%K A342026 sign
%O A342026 1,8
%A A342026 _Antti Karttunen_, Mar 13 2021