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A166029 Continued fraction expansion for the order -1/2 harmonic number of 1/2 +0
1
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; listen)
OFFSET

1,2

COMMENT

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 this_sequence A049278 A131739 A011151

Adjacent sequences: A166026 A166027 A166028 this_sequence A166030 A166031 A166032

KEYWORD

cofr,nonn

AUTHOR

L. Kreissig (LKreissig(AT)web.de), Oct 05 2009

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Last modified December 20 16:13 EST 2009. Contains 171081 sequences.


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