The On-Line Encyclopedia of Integer Sequences (OEIS)

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A134472

Denominators of the convergents of the continued fraction expansion of -zeta(1/2)/sqrt(2*Pi).
(history; published version)

#10 by Susanna Cuyler at Thu Mar 29 15:24:47 EDT 2018

STATUS

proposed

approved

#9 by G. C. Greubel at Thu Mar 29 01:02:54 EDT 2018

STATUS

editing

proposed

#8 by G. C. Greubel at Thu Mar 29 01:02:35 EDT 2018

DATA

1, 1, 2, 5, 7, 12, 103, 115, 678, 793, 1471, 2264, 28639, 145459, 174098, 319557, 1771883, 2091440, 26869163, 28960603, 55829766, 84790369, 140620135, 366030639, 506650774, 872681413, 1379332187, 2252013600, 5883359387, 19902091761, 45687542909, 111277177579, 268241898067

LINKS

G. C. Greubel, <a href="/A134472/b134472.txt">Table of n, a(n) for n = 13..1012</a>

MATHEMATICA

Denominator[Convergents[-Zeta[1/2]/Sqrt[2 Pi], 50]] (* G. C. Greubel, Mar 28 2018 *)

EXTENSIONS

Terms a(33) onward added by G. C. Greubel, Mar 28 2018

STATUS

approved

editing

#7 by Bruno Berselli at Mon Mar 21 04:01:52 EDT 2016

STATUS

proposed

approved

#6 by Vaclav Kotesovec at Mon Mar 21 03:43:24 EDT 2016

STATUS

editing

proposed

#5 by Vaclav Kotesovec at Mon Mar 21 03:43:16 EDT 2016

NAME

Denominators of the convergents of the continued fraction expansion of -zeta(1/2)/sqrt(2*piPi).

STATUS

proposed

editing

#4 by Michel Marcus at Mon Mar 21 03:39:01 EDT 2016

STATUS

editing

proposed

#3 by Michel Marcus at Mon Mar 21 03:38:57 EDT 2016

REFERENCES

Hans J. H. Tuenter, "Overshoot in the Case of Normal Variables: Chernoff's Integral, Latta's Observation and Wijsman's Sum", Sequential Analysis, 26(4):481-488, 2007.

LINKS

Hans J. H. Tuenter, <a href="http://dx.doi.org/10.1080/07474940701620998">Overshoot in the Case of Normal Variables: Chernoff's Integral, Latta's Observation and Wijsman's Sum</a>, Sequential Analysis, 26(4) (2007) 481-488.

STATUS

approved

editing

#2 by Russ Cox at Sat Mar 31 10:33:09 EDT 2012

AUTHOR

_Hans J. H. Tuenter (htuenter(AT)gmail.com), _, Oct 27 2007

Discussion

Sat Mar 31

10:33

OEIS Server: https://oeis.org/edit/global/843

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

Denominators of the convergents of the continued fraction expansion of -zeta(1/2)/sqrt(2*pi).

DATA

1, 1, 2, 5, 7, 12, 103, 115, 678, 793, 1471, 2264, 28639, 145459, 174098, 319557, 1771883, 2091440, 26869163, 28960603

OFFSET

13,3

REFERENCES

Hans J. H. Tuenter, "Overshoot in the Case of Normal Variables: Chernoff's Integral, Latta's Observation and Wijsman's Sum", Sequential Analysis, 26(4):481-488, 2007.

CROSSREFS

Cf. A134469 (Decimal expansion), A134470 (Continued fraction expansion), A134471 (Numerators of continued fraction convergents).

KEYWORD

frac,nonn,new

AUTHOR

Hans J. H. Tuenter (htuenter(AT)gmail.com), Oct 27 2007

STATUS

approved