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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
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).
MATHEMATICA
sopfr = Function[x, Plus @@ Map[Times @@ # &, FactorInteger[x]]]; sopfr /@ HarmonicNumber[Range[40]]
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Carlos Alves, Dec 16 2007
STATUS
approved