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A135935
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Decimal expansion of the starting value b(0) such that the fractional part of the sequence b(n+1) = b(n) + tanh(b(n)) approaches zero as n -> infinity.
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0
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6, 3, 9, 5, 1, 6, 4, 6, 1, 1, 1, 0, 3, 4, 3, 3, 5, 3, 4, 0, 9, 8, 8, 0, 4, 6, 0, 8, 7, 9, 4, 8, 2, 7, 4, 2, 1, 4, 5, 9, 0, 6, 4, 7, 7, 1, 6, 2, 2, 9, 5, 7, 2, 2, 1, 7, 4, 7, 0, 8, 3, 7, 7, 3, 4, 1, 6, 7, 1, 3, 7, 3, 4, 8, 4, 0, 9, 1, 6, 5, 4, 1, 2, 6, 9, 1, 3, 5, 9, 3, 8, 0, 8, 3, 9, 5, 9, 0, 8, 5, 9, 8, 5, 2, 5
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Starting from some b(0), the sequence b(n) fulfills b(n+1)=b(n)+1 as n->infinity, so the fractional part approaches some constant.
With b(0) = 0.639.., this constant here, the fractional value b(n)-floor(b(n)) converges to 0 (equivalent to 0.999999..) as n->infinity.
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EXAMPLE
| b(0) = 0.63951646111034335340988046087948274....
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CROSSREFS
| Sequence in context: A158606 A021065 A093754 * A037905 A180596 A154465
Adjacent sequences: A135932 A135933 A135934 * A135936 A135937 A135938
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KEYWORD
| cons,nonn
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AUTHOR
| Matt Rieckman (mjr162006(AT)yahoo.com), Mar 03 2008
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EXTENSIONS
| Offset corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 05 2009
Definition rephrased by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 03 2009
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