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A189040 Decimal expansion of (e+sqrt(-4+e^2))/2. 4
2, 2, 7, 9, 6, 1, 0, 3, 7, 3, 1, 1, 0, 5, 1, 2, 6, 2, 6, 6, 0, 2, 0, 1, 6, 8, 7, 6, 9, 1, 6, 1, 7, 3, 3, 6, 2, 3, 0, 0, 2, 0, 8, 4, 3, 6, 2, 2, 8, 5, 2, 0, 1, 3, 8, 2, 1, 8, 0, 9, 2, 0, 6, 6, 7, 0, 6, 9, 8, 7, 8, 6, 2, 1, 7, 8, 3, 6, 6, 8, 0, 9, 1, 2, 4, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..86.

EXAMPLE

2.2796103731105126266020168769161733623002084362...

MATHEMATICA

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

N[t, 130]

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

ContinuedFraction[t, 120]

RealDigits[(E+Sqrt[E^2-4])/2, 10, 150][[1]] (* Harvey P. Dale, Oct 17 2013 *)

CROSSREFS

Cf. A188738, A189040, A189041.

Sequence in context: A324666 A011022 A070910 * A267214 A107386 A095021

Adjacent sequences:  A189037 A189038 A189039 * A189041 A189042 A189043

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Apr 15 2011

EXTENSIONS

Corrected by Harvey P. Dale, Oct 17 2013

STATUS

approved

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Last modified August 11 03:22 EDT 2020. Contains 336421 sequences. (Running on oeis4.)