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A099878
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Decimal expansion of a nested radical: Sqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...
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5
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| 1.58454170990556500250912545055...
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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)
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PROG
| (PARI) t=0:forstep(n=100, 1, -1, t=(t+n)^(1/(n+1))):print(t)
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CROSSREFS
| Cf. A072449, A099874, A099876, A099877 for other nested radicals.
Sequence in context: A199450 A019649 A199288 * A167901 A195424 A021635
Adjacent sequences: A099875 A099876 A099877 * A099879 A099880 A099881
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 03 2004
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