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A064168 Sum of numerator and denominator in n-th harmonic number, 1 + 1/2 + 1/3 +...+ 1/n. 4
2, 5, 17, 37, 197, 69, 503, 1041, 9649, 9901, 111431, 113741, 1506353, 1532093, 1556117, 3157279, 54394463, 18358381, 352893319, 71354639, 24031221, 24266365, 563299563, 1704771547, 42976237267, 43319457067, 392849685203, 395718022103, 11556136074187 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Numerator and denominator in definition have no common factors >1.
LINKS
EXAMPLE
The 3rd harmonic number is 11/6. So a(3) = 11 + 6 = 17.
MAPLE
h:= n-> numer(sum(1/k, k=1..n))+denom(sum(1/k, k=1..n)): seq(h(n), n=1..30); # Emeric Deutsch, Nov 18 2004
MATHEMATICA
Numerator[#]+Denominator[#]&/@HarmonicNumber[Range[30]] (* Harvey P. Dale, Jul 04 2017 *)
PROG
(PARI) a(n) = my(h=sum(k=1, n, 1/k)); numerator(h) + denominator(h); \\ Michel Marcus, Sep 07 2019
CROSSREFS
Sequence in context: A276460 A002496 A127436 * A118727 A183906 A042361
KEYWORD
nonn,easy
AUTHOR
Leroy Quet, Sep 19 2001
EXTENSIONS
More terms from Emeric Deutsch, Nov 18 2004
STATUS
approved

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Last modified July 20 13:32 EDT 2024. Contains 374445 sequences. (Running on oeis4.)