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A296183 Decimal expansion of (1/2)*sqrt(7 + phi), with the golden section from A001622. 0
1, 4, 6, 7, 8, 2, 4, 4, 0, 9, 5, 2, 1, 6, 1, 3, 6, 2, 8, 0, 9, 8, 1, 6, 3, 7, 2, 6, 4, 6, 7, 1, 2, 1, 3, 3, 7, 5, 4, 2, 5, 6, 5, 5, 5, 9, 8, 8, 8, 4, 2, 0, 0, 2, 0, 5, 1, 0, 2, 9, 9, 2, 9, 7, 5, 2, 3, 2, 9, 4, 3, 8, 3, 3, 9, 9, 6, 9, 5, 4, 4, 9, 3, 8, 2, 1, 4, 5, 9, 9, 3, 8, 1, 8, 3, 4, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

In a regular pentagon inscribed in a unit circle this equals the second largest distance between a vertex and a midpoint of a side. The shortest such distance is (1/2)*sqrt(3 - phi) = (1/2)*A182007 = 0.58778525229..., and the longest 1 + phi/2 = (1/2)*(2 + phi) = (1/2)*A296184 = 1.80901699437...

LINKS

Table of n, a(n) for n=1..98.

FORMULA

(1/2)*sqrt(7 + phi). From the comment on the pentagon above this results from sqrt((5/4)^2 + (sqrt(3 - phi)/2 + sqrt(7 - 4*phi)/4)^2).

EXAMPLE

1.467824409521613628098163726467121337542565559888420020510299297523294383...

MATHEMATICA

First@ RealDigits[Sqrt[7 + GoldenRatio]/2, 10, 98] (* Michael De Vlieger, Jan 13 2018 *)

CROSSREFS

Cf. A001622, A182007, A296184.

Sequence in context: A006185 A169788 A300707 * A021876 A261491 A005670

Adjacent sequences:  A296180 A296181 A296182 * A296184 A296185 A296186

KEYWORD

nonn,cons,easy

AUTHOR

Wolfdieter Lang, Jan 08 2018

STATUS

approved

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Last modified March 29 17:23 EDT 2020. Contains 333116 sequences. (Running on oeis4.)