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A342459
a(n) = gcd(A048250(n), A342001(n)).
4
1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 4, 1, 3, 8, 1, 1, 1, 1, 6, 2, 1, 1, 1, 2, 3, 1, 8, 1, 1, 1, 1, 2, 1, 12, 2, 1, 3, 8, 1, 1, 1, 1, 12, 1, 1, 1, 2, 2, 9, 4, 14, 1, 3, 8, 1, 2, 1, 1, 2, 1, 3, 1, 3, 6, 1, 1, 18, 2, 1, 1, 1, 1, 3, 1, 20, 6, 1, 1, 2, 4, 1, 1, 2, 2, 3, 8, 1, 1, 1, 4, 24, 2, 1, 24, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1
OFFSET
1,8
LINKS
FORMULA
a(n) = A342458(n) / A003557(n) = gcd(A048250(n), A342001(n)).
a(n) = A342001(n) / A342919(n).
PROG
(PARI)
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A003557(n) = (n/factorback(factorint(n)[, 1]));
A342001(n) = (A003415(n) / A003557(n));
A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));
A342459(n) = gcd(A048250(n), A342001(n));
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 28 2021
STATUS
approved