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

1,2

Links

Ivan Panchenko, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Gauss Multiplication Formula.

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)

Example

1.3492828476735633151222197...

Mathematica

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

Prog

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

Crossrefs

Cf. A011105, A011439.

Sequence in context: A329212 A290373 A122791 * A225409 A083437 A011292

Adjacent sequences: A011426 A011427 A011428 * A011430 A011431 A011432

Keyword

nonn,cons,easy

Author

N. J. A. Sloane.

Status

approved