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A351231
Denominator of A003415(n) / A276086(n), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.
8
1, 1, 3, 6, 9, 18, 1, 10, 5, 5, 45, 90, 25, 50, 25, 75, 225, 450, 125, 250, 125, 75, 1125, 2250, 625, 125, 125, 1250, 5625, 11250, 7, 14, 21, 3, 63, 21, 7, 70, 5, 105, 315, 630, 175, 350, 175, 350, 63, 3150, 125, 125, 175, 525, 1125, 15750, 4375, 4375, 13125, 13125, 39375, 78750, 49, 98, 49, 98, 147, 49, 245, 490, 245
OFFSET
0,3
FORMULA
a(n) = A276086(n) / A327858(n) = A276086(n) / gcd(A003415(n), A276086(n)).
a(n) = A276086(A351233(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); };
A351231(n) = denominator(A003415(n) / A276086(n));
CROSSREFS
Cf. A003415, A276086, A327858, A351230 (numerators), A351232, A351233.
Sequence in context: A198685 A070120 A070126 * A127644 A324283 A161338
KEYWORD
nonn,base,easy,frac,look
AUTHOR
Antti Karttunen, Feb 05 2022
STATUS
approved