The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A189042

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A189042

Decimal expansion of (e-sqrt(-4+e^2))/2.
(history; published version)

#10 by Joerg Arndt at Sat Apr 04 10:15:43 EDT 2020

STATUS

reviewed

approved

#9 by Michel Marcus at Sat Apr 04 10:02:48 EDT 2020

STATUS

proposed

reviewed

#8 by Georg Fischer at Sat Apr 04 09:40:19 EDT 2020

STATUS

editing

proposed

Discussion

Sat Apr 04

10:02

Michel Marcus: yes

#7 by Georg Fischer at Sat Apr 04 09:39:58 EDT 2020

DATA

4, 3, 8, 6, 7, 1, 4, 5, 5, 3, 4, 8, 5, 3, 2, 6, 0, 8, 7, 5, 8, 2, 7, 0, 5, 9, 4, 4, 3, 6, 4, 8, 9, 1, 3, 5, 4, 5, 7, 0, 3, 8, 6, 5, 7, 4, 7, 1, 4, 3, 9, 4, 3, 6, 7, 4, 8, 8, 7, 5, 5, 6, 1, 0, 1, 7, 0, 8, 8, 7, 6, 8, 1, 7, 5, 1, 8, 0, 7, 8, 5, 4, 4, 7, 0, 4, 5, 3, 4, 2, 1, 1, 1, 8, 4, 6, 4, 8, 2, 8, 1, 0, 3, 0, 9, 6, 8, 6, 0, 0, 5, 0, 4, 3, 7, 1, 7, 4, 8, 2, 3, 1, 6, 1, 1, 2, 2, 1, 2, 76

EXTENSIONS

a(129) corrected by Georg Fischer, Apr 04 2020

STATUS

approved

editing

Discussion

Sat Apr 04

09:40

Georg Fischer: Next digit is 7.

#6 by Charles R Greathouse IV at Mon Apr 25 10:49:20 EDT 2016

STATUS

editing

approved

#5 by Charles R Greathouse IV at Mon Apr 25 10:49:16 EDT 2016

PROG

(PARI) (exp(1)-sqrt(exp(2)-4))/2 \\ Charles R Greathouse IV, Apr 25 2016

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:57:23 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Apr 15 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#3 by T. D. Noe at Fri Apr 15 19:51:23 EDT 2011

STATUS

proposed

approved

#2 by Clark Kimberling at Fri Apr 15 18:24:52 EDT 2011

NAME

allocated for Clark Kimberling

Decimal expansion of (e-sqrt(-4+e^2))/2.

DATA

OFFSET

0,1

COMMENTS

Decimal expansion of the shape (= length/width = (e-sqrt(-4+e^2))/2) of the lesser e-contraction rectangle.

See A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes.

EXAMPLE

0.4386714553485326087582705944364891354570...

MATHEMATICA

r = E; t = (r - (-4 + r^2)^(1/2))/2; FullSimplify[t]

N[t, 130]

RealDigits[N[t, 130]][[1]]

ContinuedFraction[t, 120]

CROSSREFS

Cf. A188738, A189040, A189041.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Apr 15 2011

STATUS

approved

proposed

#1 by Clark Kimberling at Fri Apr 15 18:09:31 EDT 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved