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A300719 Difference between A003557 (n divided by largest squarefree divisor of n) and its Möbius transform. 3
0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 4, 1, 3, 1, 2, 1, 1, 1, 4, 1, 1, 3, 2, 1, 1, 1, 8, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 2, 3, 1, 1, 8, 1, 5, 1, 2, 1, 9, 1, 4, 1, 1, 1, 2, 1, 1, 3, 16, 1, 1, 1, 2, 1, 1, 1, 8, 1, 1, 5, 2, 1, 1, 1, 8, 9, 1, 1, 2, 1, 1, 1, 4, 1, 3, 1, 2, 1, 1, 1, 16, 1, 7, 3, 6, 1, 1, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,8
LINKS
FORMULA
a(n) = -Sum_{d|n, d<n} A008683(n/d)*A003557(d).
a(n) = A003557(n) - A300717(n).
PROG
(PARI)
A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = max(0, f[i, 2]-1)); factorback(f); }; \\ From A003557
A300719(n) = -sumdiv(n, d, (d<n)*moebius(n/d)*A003557(d));
CROSSREFS
Sequence in context: A214247 A211987 A165983 * A341998 A083894 A128257
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 12 2018
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)