A356418 - OEIS

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A356418

Decimal expansion of sqrt(4/3 + 1/sqrt(3)).

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

This is the radius of the smallest circle containing a system of three unit squares which intersect at the vertices to form an equilateral triangle at the center.

LINKS

Table of n, a(n) for n=1..97.

Presh Talwalkar, Very few people solved this test problem from Australia, YouTube video, 2022.

EXAMPLE

1.382274792696068482365108044918041903951415152171813...

MAPLE

evalf(sqrt(4/3 + 1/sqrt(3)), 120);

MATHEMATICA

RealDigits[Sqrt[4/3 + 1/Sqrt[3]], 10, 120][[1]]

PROG

(PARI) sqrt(4/3 + 1/sqrt(3))

(Maxima) fpprec: 100$ ev(bfloat(sqrt(4/3 + 1/sqrt(3))));