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A086253
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Decimal expansion of Feller's alpha coin-tossing constant.
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3
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1, 0, 8, 7, 3, 7, 8, 0, 2, 5, 3, 8, 4, 1, 5, 2, 7, 2, 3, 1, 4, 1, 7, 1, 1, 9, 4, 3, 6, 0, 3, 4, 9, 5, 9, 7, 3, 0, 5, 0, 4, 0, 6, 5, 9, 5, 3, 0, 1, 9, 6, 7, 8, 7, 0, 4, 8, 1, 6, 0, 8, 0, 7, 5, 6, 6, 2, 3, 3, 7, 3, 4, 7, 8, 5, 5, 9, 4, 7, 7, 3, 2, 9, 7, 0, 3, 1, 5, 8, 2, 9, 1, 5, 2, 1, 1, 8, 2, 5, 0, 9, 2
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OFFSET
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1,3
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REFERENCES
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Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.11 Feller's coin tossing constants, p. 339.
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LINKS
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Eric Weisstein's World of Mathematics, Run
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FORMULA
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Equals -2/3 - 4/(3*(17 + 3*sqrt(33))^(1/3)) + 2*(17 + 3*sqrt(33))^(1/3)/3. - Vaclav Kotesovec, Oct 14 2018
Positive real root of x^3 + 2*x^2 + 4*x - 8. - Peter Luschny, Oct 14 2018
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EXAMPLE
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1.0873780253841527231417119436....
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MAPLE
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evalf[120](solve(x^3+2*x^2+4*x-8=0, x)[1]); # Muniru A Asiru, Nov 25 2018
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MATHEMATICA
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alpha = Root[1-x+(x/2)^4, x, 1]; RealDigits[alpha, 10, 102] // First (* Jean-François Alcover, Jun 03 2014 *)
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PROG
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(PARI) solve(x=1, 3/2, 1-x+(x/2)^4) \\ Michel Marcus, Oct 14 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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