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A369449
a(n) = A003415(gcd(A003415(n), A276086(n))), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.
2
0, 1, 0, 0, 0, 0, 1, 0, 1, 5, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 7, 0, 0, 0, 7, 8, 1, 0, 0, 0, 0, 0, 9, 0, 5, 1, 0, 10, 1, 0, 0, 0, 0, 1, 1, 10, 0, 1, 9, 8, 7, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 21, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 21, 0, 0, 0, 5, 0, 0, 0, 1, 8, 1, 12, 0, 0, 1, 1, 1, 14, 5, 0, 0, 1, 8, 12, 0, 1
OFFSET
0,10
LINKS
FORMULA
a(n) = A003415(A327858(n)).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A369449(n) = A003415(gcd(A003415(n), A276086(n)));
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 26 2024
STATUS
approved