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A188739 Decimal expansion of e+sqrt(e^2-1). 6
5, 2, 4, 5, 9, 4, 0, 0, 5, 2, 7, 7, 0, 7, 5, 9, 8, 5, 6, 4, 6, 1, 1, 4, 6, 6, 8, 6, 1, 6, 3, 7, 6, 9, 7, 2, 6, 8, 5, 1, 4, 7, 1, 9, 8, 5, 3, 0, 1, 5, 6, 2, 6, 8, 8, 1, 9, 8, 6, 6, 1, 8, 7, 8, 6, 3, 8, 4, 4, 4, 1, 7, 2, 2, 5, 7, 8, 7, 4, 0, 4, 7, 3, 8, 9, 8, 7, 2, 8, 5, 0, 0, 5, 9, 2, 9, 5, 7, 5, 5, 1, 9, 9, 5, 0, 0, 2, 5, 9, 8, 6, 8, 4, 2, 4, 1, 3, 5, 0, 8, 4, 0, 4, 2, 1, 9, 7, 2, 2, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Decimal expansion of the shape of a greater 2e-contraction rectangle; see A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and the partitioning of these rectangles into sets of squares in a manner that matches the continued fractions of their shapes.

LINKS

Table of n, a(n) for n=1..130.

FORMULA

e+sqrt(-1+e^2), with continued fraction A188627.

EXAMPLE

5.24594005277075985646114668616376972685147198530... = 1/A188738 .

MATHEMATICA

r = 2 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 (inverse), A188627 (continued fraction).

Sequence in context: A266122 A064853 A177148 * A265287 A257701 A202494

Adjacent sequences:  A188736 A188737 A188738 * A188740 A188741 A188742

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Apr 11 2011

STATUS

approved

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Last modified December 12 15:01 EST 2017. Contains 295939 sequences.