The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A099878

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A099878

Decimal expansion of a nested radical: Sqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...
(history; published version)

#7 by N. J. A. Sloane at Wed Jul 29 04:26:00 EDT 2015

STATUS

editing

approved

#6 by N. J. A. Sloane at Wed Jul 29 04:25:56 EDT 2015

NAME

Decimal expansion of a nested radical: sqrtSqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...

STATUS

proposed

editing

#5 by Michel Marcus at Wed Jul 29 01:19:29 EDT 2015

STATUS

editing

proposed

#4 by Michel Marcus at Wed Jul 29 01:19:24 EDT 2015

PROG

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

STATUS

proposed

editing

#3 by Jon E. Schoenfield at Wed Jul 29 00:45:38 EDT 2015

STATUS

editing

proposed

#2 by Jon E. Schoenfield at Wed Jul 29 00:45:13 EDT 2015

NAME

Decimal expansion of a nested radical: Sqrtsqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...

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 *)

STATUS

approved

editing

Discussion

Wed Jul 29

00:45

Jon E. Schoenfield: In the Name, I don't know whether to change "CubeRoot" to something else (and, if so, what?)...

#1 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005

NAME

Decimal expansion of a nested radical: Sqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...

DATA

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

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)

PROG

(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.

KEYWORD

cons,easy,nonn

AUTHOR

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

STATUS

approved