A011429 Decimal expansion of 10th root of 20.

1, 3, 4, 9, 2, 8, 2, 8, 4, 7, 6, 7, 3, 5, 6, 3, 3, 1, 5, 1, 2, 2, 2, 1, 9, 7, 0, 5, 8, 0, 9, 0, 3, 2, 7, 6, 6, 6, 9, 1, 8, 8, 8, 4, 4, 9, 1, 3, 7, 5, 9, 5, 3, 4, 8, 5, 2, 5, 0, 6, 0, 6, 1, 4, 1, 6, 6, 5, 9, 4, 7, 7, 2, 5, 6, 7, 1, 0, 3, 5, 4, 7, 6, 9, 4, 6, 5, 0, 2, 6, 3, 6, 2, 5, 3, 3, 0, 9, 6

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

Examples

			1.3492828476735633151222197...
		

Links

• Ivan Panchenko, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Gauss Multiplication Formula.

Crossrefs

Cf. A011105, A011439.

Programs

Mathematica

RealDigits[20^(1/10), 10, 100][[1]] (* Alonso del Arte, Feb 20 2015 *)

PARI

sqrtn(20, 10) \\ Michel Marcus, Jul 06 2023

Formula

From Andrea Pinos, Jul 08 2023: (Start)

Equals 2*Pi*(Product_{k=1..5} Gamma(k/10)*Gamma(1 - k/10))^(-1/5).

General result: (4*y)^(1/(2*y)) = 2*Pi/(Product_{k=1..y} Gamma(k/(2*y))*Gamma(1 - k/(2*y)) )^(1/y). (End)