A276539 Decimal expansion of the limit of the nested Zeta(1+Zeta(2+Zeta(3+Zeta(4+...)))).

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

Offset

1,2

Comments

No closed form expression is known. Probably transcendental but this is unproved.

Links

Table of n, a(n) for n=1..105.

Example

1.4989048441208443156773132595381864569706157537494335357205764167559796173...

Mathematica

RealDigits[Fold[Zeta[#1 + #2] &, 0, Reverse[Range[26]]], 10, 111][[1]] (* or *)RealDigits[Fold[PolyLog[#1 + #2, 1] &, 0, Reverse[Range[30]]], 10, 111][[1]]

Crossrefs

Sequence in context: A188658 A248803 A019784 * A011381 A369131 A368803

Adjacent sequences: A276536 A276537 A276538 * A276540 A276541 A276542

Keyword

nonn,cons

Author

Robert G. Wilson v, Apr 09 2017

Status

approved