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

1,1

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.

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.

Example

3.141592653643822210363178893440072341687691509428596952106071524 ...

Prog

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

Crossrefs

Cf. A000796, A244450.

Sequence in context: A379276 A379321 A114609 * A339264 A379322 A068089

Adjacent sequences: A271449 A271450 A271451 * A271453 A271454 A271455

Keyword

nonn,cons

Author

Stanislav Sykora, Apr 08 2016

Status

approved