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A171622
a(n) = floor(n-th noncomposite / n).
2
1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
OFFSET
1,8
COMMENTS
Numerators and denominators of A008578(n)/n are A171525(n) and A171526(n).
LINKS
FORMULA
a(n) = floor(A008578(n)/n).
MATHEMATICA
nn=100; With[{ncs=Join[{1}, Prime[Range[nn]]]}, Floor[#[[1]]/#[[2]]]&/@ Thread[ {ncs, Range[nn+1]}]] (* Harvey P. Dale, Feb 19 2013 *)
PROG
(PARI) a(n) = if(n==1, 1, prime(n-1)\n); \\ Andrew Howroyd, Oct 29 2025
CROSSREFS
Cf. A008578 (noncomposites), A171525, A171526, A171626.
Sequence in context: A230261 A242306 A245636 * A351846 A111858 A111856
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Dec 13 2009
EXTENSIONS
a(51) onward from Andrew Howroyd, Oct 29 2025
STATUS
approved