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A166029 Continued fraction expansion for the order -1/2 harmonic number of 1/2 0
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; text; 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).

LINKS

Table of n, a(n) for n=1..98.

MATHEMATICA

ContinuedFraction[HarmonicNumber[1/2, -1/2], 200]

CROSSREFS

Sequence in context: A011249 A002784 A276010 * A049278 A194680 A131739

Adjacent sequences:  A166026 A166027 A166028 * A166030 A166031 A166032

KEYWORD

cofr,nonn

AUTHOR

Leonhard Kreissig, Oct 05 2009

STATUS

approved

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Last modified October 13 20:38 EDT 2019. Contains 327981 sequences. (Running on oeis4.)