A341332 - OEIS

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A341332

Decimal expansion of Pi/(2*phi).

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

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OFFSET

0,1

COMMENTS

This is the middle angle (in radians) of the unique right triangle whose angles are in geometric progression; common ratio is phi and the angles are (Pi/(2*phi^2), Pi/(2*phi), Pi/2) in radians, corresponding to approximately (34.377, 55.623, 90) in degrees.

LINKS

Table of n, a(n) for n=0..103.

Index entries for transcendental numbers

FORMULA

Equals A019669/A001622 = A094881/2 = Pi/(1+sqrt(5)) = (Pi/4) * (sqrt(5)-1).

EXAMPLE

0.970805519362733288673432814981347978817334946923024149753694108...

MAPLE

evalf(Pi/(1+sqrt(5)), 150);

MATHEMATICA

RealDigits[Pi/(2*GoldenRatio), 10, 100][[1]] (* Amiram Eldar, Feb 09 2021 *)

PROG