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A047784 Nearest integer to Li(n). 5
1, 2, 3, 4, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
REFERENCES
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 238.
LINKS
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
FORMULA
a(n) = round(logarithmic integral(n)). - G. C. Greubel, May 16 2019
MATHEMATICA
Table[Round[LogIntegral[n]], {n, 2, 80}] (* G. C. Greubel, May 16 2019 *)
PROG
(PARI) vector(80, n, n++; round(real(-eint1(-log(n)))) ) \\ G. C. Greubel, May 16 2019
(Magma) [Round(LogIntegral(n)): n in [2..80]]; // G. C. Greubel, May 16 2019
(Sage) [round(li(n)) for n in (2..80)] # G. C. Greubel, May 16 2019
CROSSREFS
Cf. A047783 (floor), A047785 (ceiling).
Sequence in context: A094192 A093874 A047741 * A047742 A302778 A203967
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 15:28 EDT 2024. Contains 371254 sequences. (Running on oeis4.)