A354249 Decimal expansion of 27*sqrt(3) / (2*Pi).

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

Offset

1,1

Comments

For any triangle ABC (see Crux Mathematicorum):

(sin(A) + sin(B) + sin(C)) * (1/A + 1/B + 1/C) >= 27*sqrt(3) / (2*Pi),

where (A,B,C) are the angles in radians.

Equality stands iff triangle ABC is equilateral.

Links

Table of n, a(n) for n=1..100.

Shi-Chang Chi and Ji Chen, Douglas L. Grant, Problem 2015, Crux Mathematicorum, Vol. 22, No. 1 (1996), pp. 47-48.

Index entries for transcendental numbers

Formula

Equals A010527 * A132717.

Example

7.442940088194192668402907727...

Maple

evalf(27*sqrt(3)/(2*Pi), 100);

Mathematica

RealDigits[(27*Sqrt[3]/2*Pi), 10, 100][[1]] (* Amiram Eldar, May 21 2022 *)

Crossrefs

Cf. A010527, A132702, A132717.

Sequence in context: A193968 A153840 A198351 * A245074 A194474 A348736

Adjacent sequences: A354246 A354247 A354248 * A354250 A354251 A354252

Keyword

nonn,cons

Author

Bernard Schott, May 20 2022

Status

approved