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A141251
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Decimal expansion of the number c satisfying c*log(c)=1+c.
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6
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3, 5, 9, 1, 1, 2, 1, 4, 7, 6, 6, 6, 8, 6, 2, 2, 1, 3, 6, 6, 4, 9, 2, 2, 2, 9, 2, 5, 7, 4, 1, 6, 3, 4, 8, 4, 2, 1, 0, 3, 0, 7, 5, 4, 0, 1, 5, 9, 2, 7, 8, 6, 9, 1, 9, 0, 4, 5, 2, 9, 8, 7, 3, 1, 9, 9, 2, 2, 6, 5, 4, 9, 8, 4, 4, 0, 3, 1, 6, 3, 7, 6, 6, 0, 2, 3, 6, 4, 1, 7, 7, 4, 6, 5, 2, 4, 5, 7, 1
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OFFSET
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1,1
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COMMENTS
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The iteration on c = c*log(c)- 1 does not converge from above or below. However, iteration on c = exp(1+1/c) converges quickly from above and below, including negative values. - Richard R. Forberg, Dec 28 2013
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LINKS
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Henryk Iwaniec, Rosser's sieve, Acta Arithmetica 36:2 (1980), pp. 171-202.
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FORMULA
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Equals exp(LambertW(1/e)+1).
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EXAMPLE
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3.59112147666862213664922292574163484210307540159278691904529873...
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MATHEMATICA
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PROG
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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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