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A271452
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Decimal expansion of Hoffman's approximation to Pi.
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1
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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D. W. Hoffman, A Pi Curiosity, College Mathematics Journal, 40 (2009), 399.
Eric Weisstein's World of Mathematics, Googol.
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EXAMPLE
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3.141592653643822210363178893440072341687691509428596952106071524 ...
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PROG
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(PARI) (10^100/11222.11122)^(1/193)
(Magma) SetDefaultRealField(RealField(100)); (10^100/11222.11122)^(1/193); // G. C. Greubel, Nov 04 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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