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A120731 Decimal expansion of 3 + sqrt(2)/10. 2

%I #19 Sep 08 2022 08:45:26

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

%T 8,0,7,8,5,6,9,6,7,1,8,7,5,3,7,6,9,4,8,0,7,3,1,7,6,6,7,9,7,3,7,9,9,0,

%U 7,3,2,4,7,8,4,6,2,1,0,7,0,3,8,8,5,0,3,8,7,5,3,4,3,2,7,6,4,1,5,7

%N Decimal expansion of 3 + sqrt(2)/10.

%C Said to be Dante Alighieri's approximation to Pi.

%D Jörg Arndt and Christoph Haenel, Pi Unleashed, New York: Springer (2001), p. 56.

%H G. C. Greubel, <a href="/A120731/b120731.txt">Table of n, a(n) for n = 1..10000</a>

%H D. Castellanos, <a href="http://www.jstor.org/stable/2690037">The ubiquitous pi</a>, Math. Mag., 61 (1988), 67-98 and 148-163. [_N. J. A. Sloane_, Mar 24 2012]

%e 3 + sqrt(2)/10 = 3.141421356237309504880168872..., which differs from Pi by 0.00017129735248373485...

%t RealDigits[3 + Sqrt[2]/10, 10, 100][[1]] (* _G. C. Greubel_, Sep 27 2018 *)

%o (PARI) default(realprecision, 100); 3 + sqrt(2)/10 \\ _G. C. Greubel_, Sep 27 2018

%o (Magma) SetDefaultRealField(RealField(100)); 3 + Sqrt(2)/10; // _G. C. Greubel_, Sep 27 2018

%Y Essentially the same sequence as A002193 (sqrt(2)).

%Y Cf. A000796 (Pi).

%K nonn,cons,easy

%O 1,1

%A _Zak Seidov_, Aug 18 2006

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Last modified March 28 16:34 EDT 2024. Contains 371254 sequences. (Running on oeis4.)