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A135935
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.
0
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
OFFSET
0,1
COMMENTS
Starting from some b(0), the sequence b(n) satisfies 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.
EXAMPLE
b(0) = 0.63951646111034335340988046087948274....
CROSSREFS
Sequence in context: A262041 A243152 A093754 * A263183 A037905 A180596
KEYWORD
cons,nonn
AUTHOR
Matt Rieckman (mjr162006(AT)yahoo.com), Mar 03 2008
EXTENSIONS
Offset corrected by R. J. Mathar, Feb 05 2009
Definition rephrased by R. J. Mathar, Nov 03 2009
STATUS
approved