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Search: id:A099878
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A099878 Decimal expansion of a nested radical: Sqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ... +0
6
1, 5, 8, 4, 5, 4, 1, 7, 0, 9, 9, 0, 5, 5, 6, 5, 0, 0, 2, 5, 0, 9, 1, 2, 5, 4, 5, 0, 5, 5, 2, 6, 2, 9, 1, 7, 2, 9, 4, 8, 9, 4, 7, 5, 0, 7, 8, 0, 5, 9, 2, 3, 2, 9, 1, 5, 0, 2, 0, 2, 4, 9, 3, 6, 5, 8, 9, 6, 3, 0, 0, 6, 1, 9, 8, 9, 2, 6, 0, 8, 4, 0, 2, 6, 4, 8, 9, 1, 2, 2, 8, 5, 0, 7, 7, 2, 3, 8, 4, 9, 9, 7, 9, 6 (list; cons; graph; listen)
OFFSET

1,2

EXAMPLE

1.58454170990556500250912545055...

MATHEMATICA

k = 43; r = 44; While[k > 0, r = (k + r)^(1/(k + 1)); k-- ]; RealDigits[r, 10, 111][[1]] (from Robert G. Wilson v Nov 04 2004)

PROGRAM

(PARI) t=0:forstep(n=100, 1, -1, t=(t+n)^(1/(n+1))):print(t)

CROSSREFS

Cf. A072449, A099874, A099876, A099877 for other nested radicals.

Sequence in context: A097908 A019907 A019649 this_sequence A021635 A021175 A011095

Adjacent sequences: A099875 A099876 A099877 this_sequence A099879 A099880 A099881

KEYWORD

cons,easy,nonn

AUTHOR

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 03 2004

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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