A271452 Decimal expansion of Hoffman's approximation to Pi.

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

Offset: 1

Author

Stanislav Sykora, Apr 08 2016

Keywords

• nonn
• cons

Comments

The expression (Googol/11222.11122)^(1/193), with Googol fixed as 10^100, approximates Pi with an absolute error of about 5.4e-11. The 'symmetry' of the denominator, the fact that 193 is a prime, and the fact that it relates Pi with Googol make it a rare curiosity.

Examples

			3.141592653643822210363178893440072341687691509428596952106071524 ...
		

Links

• Stanislav Sykora, Table of n, a(n) for n = 1..1000
• D. W. Hoffman, A Pi Curiosity, College Mathematics Journal, 40 (2009), 399.
• Eric Weisstein's World of Mathematics, Googol.
• Wikipedia, Approximations of Pi.
• Wikipedia, Googol.

Crossrefs

Cf. A000796, A244450.

Programs

Magma

SetDefaultRealField(RealField(100)); (10^100/11222.11122)^(1/193); // G. C. Greubel, Nov 04 2018

PARI

(10^100/11222.11122)^(1/193)