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A373986 Numerator of A373158(n) / A108951(n), where A108951 is fully multiplicative and A373158 is fully additive with a(p) = p# for prime p, where x# is the primorial A034386(x). 5
0, 1, 1, 1, 1, 2, 1, 3, 1, 8, 1, 5, 1, 53, 1, 1, 1, 7, 1, 17, 6, 578, 1, 1, 1, 7508, 1, 107, 1, 19, 1, 5, 193, 127628, 4, 1, 1, 2424923, 2503, 3, 1, 109, 1, 1157, 7, 55773218, 1, 7, 1, 31, 14181, 15017, 1, 5, 13, 9, 269436, 1617423308, 1, 1, 1, 50140122533, 37, 3, 167, 1159, 1, 255257, 18591073, 121, 1, 1, 1, 1855184533703 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,6
LINKS
FORMULA
a(n) = A373158(n) / A373985(n) = A373158(n) / gcd(A108951(n), A373158(n)).
PROG
(PARI) A373986(n) = { my(f=factor(n), m=1, s=0); for(i=1, #f~, my(x=prod(i=1, primepi(f[i, 1]), prime(i))); s += f[i, 2]*x; m *= x^f[i, 2]); s/gcd(m, s); };
(PARI) A373986(n) = numerator(A373158(n)/A108951(n));
CROSSREFS
Cf. A108951, A373158, A373985, A373987 (denominators), A373988 (rgs-transform).
Sequence in context: A213074 A140966 A058036 * A136179 A185176 A198315
KEYWORD
nonn,frac
AUTHOR
Antti Karttunen, Jun 25 2024
STATUS
approved

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Last modified August 28 04:20 EDT 2024. Contains 375477 sequences. (Running on oeis4.)