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A276539 Decimal expansion of the limit of the nested Zeta(1+Zeta(2+Zeta(3+Zeta(4+...)))). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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 A122824 A179396

Adjacent sequences:  A276536 A276537 A276538 * A276540 A276541 A276542

KEYWORD

nonn,cons

AUTHOR

Robert G. Wilson v, Apr 09 2017

STATUS

approved

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Last modified November 14 20:15 EST 2019. Contains 329130 sequences. (Running on oeis4.)