A114575 - OEIS

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A114575

Number of distinct prime factors of floor(e^n).

1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 2, 4, 2, 4, 4, 1, 5, 2, 3, 2, 4, 2, 3, 3, 3, 4, 3, 3, 2, 5, 5, 3, 7, 4, 3, 3, 4, 5, 2, 5, 4, 3, 6, 5, 3, 4, 4, 1, 4, 5, 5, 6, 4, 5, 6, 3, 4, 2, 4, 5, 7, 9, 3, 6, 7, 8, 5, 3, 5, 7, 5, 5, 7, 3, 5, 6, 6, 6 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	EXAMPLE	`floor(e^3) = floor(20.08553) = 20. 20 has two distinct prime factors (2 and 5), therefore a(3) = 2.`
	MATHEMATICA	`Table[Length[FactorInteger[Floor[E^n]]], {n, 1, 80}]`
	CROSSREFS	`Cf. A001113 [decimal expansion of e].` `Sequence in context: A125893 A005857 A025809 * A131849 A090735 A090736` `Adjacent sequences: A114572 A114573 A114574 * A114576 A114577 A114578`
	KEYWORD	`nonn`
	AUTHOR	`Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 17 2006`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.