The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A121006 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A121006

Numerators of partial alternating sums of Catalan numbers scaled by powers of 1/5.
(history; published version)

#16 by Michael De Vlieger at Sun Sep 15 02:47:00 EDT 2024

STATUS

reviewed

approved

#15 by Michel Marcus at Sun Sep 15 02:02:55 EDT 2024

STATUS

proposed

reviewed

#14 by Michel Marcus at Sun Sep 15 02:02:51 EDT 2024

STATUS

editing

proposed

#13 by Michel Marcus at Sun Sep 15 02:02:45 EDT 2024

LINKS

W. Wolfdieter Lang: , <a href="/A121006/a121006.txt">Rationals r(n), limit.</a>

STATUS

reviewed

editing

#12 by Joerg Arndt at Sun Sep 15 01:38:46 EDT 2024

STATUS

proposed

reviewed

#11 by Jason Yuen at Sat Sep 14 17:30:09 EDT 2024

STATUS

editing

proposed

#10 by Jason Yuen at Sat Sep 14 17:29:34 EDT 2024

COMMENTS

The limit lim_{n->infinity} (r(n) := rIII(1;n)) = -4 + 3*phi = sqrt(5)/phi^2 = 0.85410196624968...

EXAMPLE

13397/15625, 66556/78125, 66842/78125, 1666188/1953125, 8347736/9765625,...]

MAPLE

The limit lim_{n->infinity} (r(n) := rIII(1; n)) = -4 + 3*phi = sqrt(5)/phi^2 = 0.85410196624968 (maple10, 15 digits).

STATUS

approved

editing

#9 by Wolfdieter Lang at Thu Aug 29 16:25:32 EDT 2019

STATUS

editing

approved

#8 by Wolfdieter Lang at Thu Aug 29 16:25:29 EDT 2019

LINKS

W. Lang: <a href="/LANGCHANGE/A121006/a121006.texttxt">Rationals r(n), limit.</a>

STATUS

approved

editing

#7 by N. J. A. Sloane at Wed Aug 28 09:25:23 EDT 2019

LINKS

W. Lang: <a href="http://www.itp.kit.edu/~wl/EISpubLANGCHANGE/A121006.text">Rationals r(n), limit.</a>

Discussion

Wed Aug 28

09:25

OEIS Server: https://oeis.org/edit/global/2824