A099878 Decimal expansion of a nested radical: Sqrt(1 + CubeRoot(2 + 4thRoot(3 + 5thRoot(4 + ...

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

Author

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

Keywords

• cons
• easy
• nonn

Examples

			1.58454170990556500250912545055...
		

Crossrefs

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

Programs

Mathematica

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

PARI

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