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A357715 Decimal expansion of sqrt(16 + 32 / sqrt(5)). 0
5, 5, 0, 5, 5, 2, 7, 6, 8, 1, 8, 8, 4, 6, 9, 4, 1, 5, 2, 8, 2, 8, 8, 3, 8, 3, 2, 7, 6, 4, 3, 5, 5, 0, 7, 1, 8, 1, 0, 3, 5, 9, 7, 3, 4, 4, 0, 3, 2, 6, 3, 4, 6, 5, 3, 4, 6, 2, 7, 0, 3, 0, 6, 2, 4, 7, 6, 3, 8, 0, 7, 7, 5, 0, 6, 8, 6, 9, 1, 9, 4, 0, 2, 6, 3, 8, 1, 1, 9, 7, 2, 4, 4, 0, 2, 8, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
The perimeter of a golden rectangle inscribed in a unit circle.
The width and height of the rectangle are:
W = sqrt(2 - 2 / sqrt(5)) = A179290.
H = sqrt(2 + 2 / sqrt(5)) = A121570.
LINKS
FORMULA
Equals (4 / sqrt(5)) * sqrt(5 + 2 * sqrt(5)) = A356869 * A019970.
Equals sqrt(5 + 2 * sqrt(5)) / (sqrt(5) / 4) = A019970 / A204188.
Equals 4 * sqrt(1 + 2 / sqrt(5)) = 4 * A019952.
Equals 4 / sqrt(5 - 2 * sqrt(5)) = 4 / A019934.
EXAMPLE
5.5055276818846941...
MAPLE
sqrt(16 + 32 / sqrt(5));
MATHEMATICA
Sqrt[16 + 32/Sqrt[5]]
PROG
(PARI) sqrt(16 + 32 / sqrt(5))
CROSSREFS
Sequence in context: A065936 A299625 A021649 * A200257 A236023 A200516
KEYWORD
nonn,cons,easy
AUTHOR
Michal Paulovic, Oct 10 2022
STATUS
approved

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Last modified June 23 07:33 EDT 2024. Contains 373629 sequences. (Running on oeis4.)