A276538 Decimal expansion of the limit of the nested tanh(1+tanh(2+tanh(3+tanh(4+...)))).

9, 6, 3, 6, 7, 6, 0, 5, 1, 2, 0, 6, 6, 0, 3, 7, 4, 4, 5, 0, 5, 2, 7, 6, 3, 2, 7, 7, 0, 6, 8, 9, 7, 1, 1, 2, 8, 1, 4, 6, 6, 6, 1, 7, 0, 9, 1, 0, 8, 5, 1, 1, 0, 5, 4, 5, 9, 3, 6, 5, 4, 1, 1, 8, 7, 9, 0, 6, 7, 0, 9, 8, 3, 1, 7, 8, 9, 3, 9, 7, 1, 4, 8, 8, 7, 9, 1, 5, 3, 4, 5, 0, 9, 4, 3, 8, 9, 6, 7

Offset

0,1

Comments

No closed form expression is known.

Probably transcendental but this is unproved.

Links

Table of n, a(n) for n=0..98.

Example

0.9636760512066037445052763277068971128146661709108511054593654118790670983...

Mathematica

RealDigits[ Fold[ Tanh[#1 + #2] &, 0, Reverse[ Range@ 16]], 10, 111][[1]]

Crossrefs

Sequence in context: A019683 A020759 A226582 * A243313 A259469 A241993

Adjacent sequences: A276535 A276536 A276537 * A276539 A276540 A276541

Keyword

nonn,cons

Author

Robert G. Wilson v, Apr 09 2017

Status

approved