The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A030651 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A030651

Continued fraction for Gamma(1/3).
(history; published version)

#22 by OEIS Server at Sat Aug 03 13:25:31 EDT 2024

LINKS

Harry J. Smith, <a href="/A030651/b030651_1.txt">Table of n, a(n) for n = 0..999</a>

#21 by Michael De Vlieger at Sat Aug 03 13:25:31 EDT 2024

STATUS

proposed

approved

Discussion

Sat Aug 03

13:25

OEIS Server: Installed new b-file as b030651.txt.  Old b-file is now b030651_1.txt.

#20 by Andrew Howroyd at Sat Aug 03 12:29:47 EDT 2024

STATUS

editing

proposed

#19 by Andrew Howroyd at Sat Aug 03 12:04:41 EDT 2024

OFFSET

1,0,1

LINKS

Harry J. Smith, <a href="/A030651/b030651_1.txt">Table of n, a(n) for n = 10..1000999</a>

PROG

(PARI) { default(realprecision, 1080); x=contfrac(gamma(1/3)); for (n=1, 1000, write("b030651.txt", n, -1, " ", x[n])); } \\ Harry J. Smith, Apr 20 2009

CROSSREFS

Cf. A030652, A073005 (decimal expansion).

EXTENSIONS

Offset changed by Andrew Howroyd, Aug 03 2024

STATUS

approved

editing

Discussion

Sat Aug 03

12:29

Andrew Howroyd: Continued fraction offset consistency.

#18 by Joerg Arndt at Tue Mar 31 01:01:33 EDT 2020

STATUS

reviewed

approved

#17 by Wesley Ivan Hurt at Mon Mar 30 21:00:51 EDT 2020

STATUS

proposed

reviewed

#16 by Alonso del Arte at Mon Mar 30 16:23:17 EDT 2020

STATUS

editing

proposed

#15 by Alonso del Arte at Mon Mar 30 16:22:59 EDT 2020

MATHEMATICA

ContinuedFraction[Gamma[1/3], 50] (* Alonso del Arte, Mar 30 2020 *)

#14 by Alonso del Arte at Mon Mar 30 16:13:29 EDT 2020

LINKS

G. Gang Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

#13 by Alonso del Arte at Mon Mar 30 16:12:02 EDT 2020

NAME

Continued fraction for GAMMAGamma(1/3).

FORMULA

Note that 3 *GAMMA Gamma(1/3) *GAMMA Gamma(2/3) = 2 * Pi * sqrt(3).

EXAMPLE

gammaGamma(1/3) = 2.67893853470774... = 2 + 1/(1 + 1/(2 + 1/(8 + 1/(1 + ...)))). - Harry J. Smith, Apr 20 2009

STATUS

approved

editing

Discussion

Mon Mar 30

16:13

Alonso del Arte: Correction per the Style Sheet http://oeis.org/wiki/Style_Sheet