id:A136133 - OEIS Search Results

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Integer log of harmonic numbers.

+0
2

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; listen)

	OFFSET	`0,3`
	COMMENT	`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	`Cf. A136121, A136122, A001008, A002805.` `Adjacent sequences: A136130 A136131 A136132 this_sequence A136134 A136135 A136136` `Sequence in context: A054380 A002610 A100979 this_sequence A081538 A011487 A010495`
	KEYWORD	`easy,nonn`
	AUTHOR	`Carlos Alves (cjsalves(AT)gmail.com), Dec 16 2007`

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.

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