A166029 - OEIS

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A166029

Continued fraction expansion for the order -1/2 harmonic number of 1/2

0, 2, 3, 1, 1, 4, 7, 1, 1, 2, 1, 4, 24, 3, 1, 6, 13, 1, 8, 2, 6, 1, 5, 3, 2, 1, 5, 1, 3, 12, 6, 637, 1, 9, 6, 1, 2, 2, 1, 9, 1, 1, 2, 3, 3, 2, 54, 45, 1, 16, 3, 4, 22, 1, 6, 5, 1, 3, 1, 1, 3, 2, 7, 1, 3, 1, 6, 21, 1, 24, 1, 237, 2, 22, 3, 1, 7, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 13, 1, 4, 1, 13, 1, 2, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`If f(x) is defined as the sum of n=1 until x of all square roots of n then this number here is f(1/2).`
	MATHEMATICA	`ContinuedFraction[HarmonicNumber[1/2, -1/2], 200]`
	CROSSREFS	`Sequence in context: A023570 A011249 A002784 * A049278 A194680 A131739` `Adjacent sequences: A166026 A166027 A166028 * A166030 A166031 A166032`
	KEYWORD	`cofr,nonn`
	AUTHOR	`L. Kreissig (LKreissig(AT)web.de), Oct 05 2009`

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.