A340616 Decimal expansion of sqrt(3)-sqrt(2).

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

Offset

0,1

Comments

From Bernard Schott, Jan 16 2021: (Start)

Equals the smallest positive root of x^4 - 10*x^2 + 1 (minimal polynomial).

An approximation to 1/Pi (see corresponding comment in A135611). (End)

Links

Table of n, a(n) for n=0..71.

Formula

Equals A002194 - A002193.

Equals A135611 - A010466.

Equals 1/A135611. - Bernard Schott, Jan 15 2021

Equals sqrt(A246723). - Kevin Ryde, Jan 15 2021

Example

0.317837245195782244725...

Maple

sqrt(3)-sqrt(2) ; evalf(%) ;

Mathematica

RealDigits[Sqrt[3] - Sqrt[2], 10, 100][[1]] (* Wesley Ivan Hurt, Jan 14 2021 *)

Prog

(PARI) sqrt(3)-sqrt(2) \\ Michel Marcus, Jan 15 2021

Crossrefs

Cf. A002193 (sqrt(2)), A002194 (sqrt(3)), A135611 (sqrt(2) + sqrt(3)), A246723 (5-2*sqrt(6)).

Cf. A172264 (Beatty sequence).

Sequence in context: A016647 A091039 A217594 * A120472 A271059 A121370

Adjacent sequences: A340613 A340614 A340615 * A340617 A340618 A340619

Keyword

nonn,cons,easy,changed

Author

R. J. Mathar, Jan 14 2021

Status

approved