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A189044 Decimal expansion of (Pi-sqrt(-4+Pi^2))/2. 1
3, 5, 9, 4, 3, 3, 0, 0, 3, 8, 1, 0, 2, 7, 7, 0, 8, 9, 1, 4, 6, 5, 4, 5, 3, 8, 7, 4, 4, 8, 2, 2, 0, 0, 1, 2, 2, 5, 5, 2, 6, 2, 9, 2, 1, 6, 1, 8, 7, 6, 6, 5, 1, 6, 4, 4, 1, 0, 1, 1, 6, 0, 8, 1, 8, 9, 6, 4, 8, 4, 8, 6, 4, 4, 7, 7, 3, 9, 0, 7, 2, 1, 2, 1, 5, 9, 2, 3, 3, 2, 4, 6, 3, 0, 4, 9, 1, 8, 0, 3, 3, 9, 2, 4, 9, 3, 5, 2, 9, 4, 0, 5, 0, 2, 8, 8, 4, 0, 9, 2, 6, 2, 3, 0, 9, 2, 3, 9, 5, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Decimal expansion of the shape (= length/width = (Pi-sqrt(-4+Pi^2))/2) of the lesser pi-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..130.

EXAMPLE

0.3594330038102770891465453874482200...

MATHEMATICA

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

N[t, 130]

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

ContinuedFraction[t, 120]

CROSSREFS

Cf. A188738.

Sequence in context: A200510 A138055 A236556 * A299793 A199612 A076844

Adjacent sequences:  A189041 A189042 A189043 * A189045 A189046 A189047

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Apr 15 2011

STATUS

approved

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Last modified September 19 04:39 EDT 2019. Contains 327187 sequences. (Running on oeis4.)