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A020832
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Decimal expansion of 1/sqrt(75).
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11
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1, 1, 5, 4, 7, 0, 0, 5, 3, 8, 3, 7, 9, 2, 5, 1, 5, 2, 9, 0, 1, 8, 2, 9, 7, 5, 6, 1, 0, 0, 3, 9, 1, 4, 9, 1, 1, 2, 9, 5, 2, 0, 3, 5, 0, 2, 5, 4, 0, 2, 5, 3, 7, 5, 2, 0, 3, 7, 2, 0, 4, 6, 5, 2, 9, 6, 7, 9, 5, 5, 3, 4, 4, 6, 0, 5, 8, 6, 6, 6, 9, 1, 3, 8, 7, 4, 3, 0, 7, 9, 1, 1, 7, 1, 4, 9, 9, 0, 5
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OFFSET
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0,3
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COMMENTS
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2/sqrt(3) is the Lorentz factor for an object traveling at half the speed of light. - Sean Stroud, May 05 2019
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LINKS
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FORMULA
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(csc(Pi/3))/10, where csc is the cosecant function. - Alonso del Arte, Apr 30 2012
Product_{n>=1} ((3*n+1)/(3*n+2))^((-1)^n)), with offset 1. (see Hu link). - Michel Marcus, Jun 02 2015
2/sqrt(3) = Sum_{k>=0} binomial(2*k,k)/16^k.
2/sqrt(3) = 1 + Sum_{k>=1} (2*k-1)!!/((2*k)!! * 2^(2*k)). (End)
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EXAMPLE
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0.1154700538379251529...
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MATHEMATICA
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PROG
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CROSSREFS
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Cf. A010153 (continued fraction, but missing the initial 0).
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KEYWORD
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AUTHOR
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STATUS
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approved
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