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.

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.

Links

Table of n, a(n) for n=0..104.

Example

b(0) = 0.63951646111034335340988046087948274....

Crossrefs

Sequence in context: A262041 A243152 A093754 * A263183 A037905 A180596

Adjacent sequences: A135932 A135933 A135934 * A135936 A135937 A135938

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