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A136133 Integer log of harmonic numbers. 1
0, 1, 6, 3, 125, 5, 9, 743, 7105, 59, 925, 500, 943, 2118, 41214, 8415, 1138949, 39515, 7440381, 11166954, 18857978, 254, 584522, 467664, 312408461, 34395742156, 218280, 375035124, 4990290103, 28025, 2667653736605, 913550, 199539368422 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The integer log of a fraction p/q is A001414(p) - A001414(q).

Similar to A136121 or A136122: apply integer log (sopfr, or A001414) to the fractions in the harmonic numbers sequence (A001008/A002805).

LINKS

Table of n, a(n) for n=0..32.

MATHEMATICA

sopfr = Function[x, Plus @@ Map[Times @@ # &, FactorInteger[x]]]; sopfr /@ HarmonicNumber[Range[40]]

CROSSREFS

Cf. A136121, A136122, A001008, A002805.

Sequence in context: A100979 A279107 A266661 * A200020 A011487 A242834

Adjacent sequences:  A136130 A136131 A136132 * A136134 A136135 A136136

KEYWORD

easy,nonn

AUTHOR

Carlos Alves, Dec 16 2007

STATUS

approved

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Last modified November 13 15:39 EST 2019. Contains 329106 sequences. (Running on oeis4.)