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

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, 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, 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

Offset

1,1

Comments

Said to be Dante Alighieri's approximation to Pi.

References

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

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

D. Castellanos, The ubiquitous pi, Math. Mag., 61 (1988), 67-98 and 148-163. [N. J. A. Sloane, Mar 24 2012]

Example

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

Mathematica

RealDigits[3 + Sqrt[2]/10, 10, 100][[1]] (* G. C. Greubel, Sep 27 2018 *)

Prog

(PARI) default(realprecision, 100); 3 + sqrt(2)/10 \\ G. C. Greubel, Sep 27 2018
(Magma) SetDefaultRealField(RealField(100)); 3 + Sqrt(2)/10; // G. C. Greubel, Sep 27 2018

Crossrefs

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

Cf. A000796 (Pi).

Sequence in context: A290478 A240698 A010602 * A294098 A087477 A029212

Adjacent sequences: A120728 A120729 A120730 * A120732 A120733 A120734

Keyword

nonn,cons,easy

Author

Zak Seidov, Aug 18 2006

Status

approved