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A340616 Decimal expansion of sqrt(3)-sqrt(2). 0

%I #49 Jan 17 2021 11:18:40

%S 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,

%T 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,

%U 0,5,3,8

%N Decimal expansion of sqrt(3)-sqrt(2).

%C From _Bernard Schott_, Jan 16 2021: (Start)

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

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

%F Equals A002194 - A002193.

%F Equals A135611 - A010466.

%F Equals 1/A135611. - _Bernard Schott_, Jan 15 2021

%F Equals sqrt(A246723). - _Kevin Ryde_, Jan 15 2021

%e 0.317837245195782244725...

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

%t RealDigits[Sqrt[3] - Sqrt[2], 10, 100][[1]] (* _Wesley Ivan Hurt_, Jan 14 2021 *)

%o (PARI) sqrt(3)-sqrt(2) \\ _Michel Marcus_, Jan 15 2021

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

%Y Cf. A172264 (Beatty sequence).

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Jan 14 2021

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Last modified May 9 04:49 EDT 2024. Contains 372341 sequences. (Running on oeis4.)