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

Author

Zak Seidov, Aug 18 2006

Keywords

• nonn
• cons
• easy

Comments

Said to be Dante Alighieri's approximation to Pi.

Examples

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

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]

Crossrefs

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

Cf. A000796 (Pi).

Programs

Magma

SetDefaultRealField(RealField(100)); 3 + Sqrt(2)/10; // G. C. Greubel, Sep 27 2018

Mathematica

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

PARI

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