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A195723 Decimal expansion of arctan(golden ratio). 3
1, 0, 1, 7, 2, 2, 1, 9, 6, 7, 8, 9, 7, 8, 5, 1, 3, 6, 7, 7, 2, 2, 7, 8, 8, 9, 6, 1, 5, 5, 0, 4, 8, 2, 9, 2, 2, 0, 6, 3, 5, 6, 0, 8, 7, 6, 9, 8, 6, 8, 3, 6, 5, 8, 7, 1, 4, 9, 2, 0, 2, 6, 9, 2, 4, 3, 7, 0, 5, 3, 0, 3, 3, 6, 5, 4, 4, 2, 3, 1, 0, 2, 3, 0, 7, 3, 0, 8, 8, 4, 8, 3, 2, 7, 9, 7, 3, 2, 1, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

The polar angle, in radians, of the cone circumscribed to a regular icosahedron from one of its vertices. - Stanislav Sykora, Feb 15 2014

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..2000

FORMULA

Equals arccos(sqrt((5-sqrt(5))/10)). - Stanislav Sykora, Feb 15 2014

EXAMPLE

arctan((1+sqrt(5))/2)=1.0172219678978513677227...

MATHEMATICA

r=GoldenRatio; N[ArcTan[r], 100]

RealDigits[%] (* A195723 *)

CROSSREFS

Cf. A001622, A195693, A243445.

Sequence in context: A274570 A176704 A198415 * A138996 A010141 A199370

Adjacent sequences:  A195720 A195721 A195722 * A195724 A195725 A195726

KEYWORD

nonn,cons,easy

AUTHOR

Clark Kimberling, Sep 23 2011

STATUS

approved

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Last modified June 25 18:15 EDT 2017. Contains 288729 sequences.