A005533 Decimal expansion of fifth root of 4.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• cons
• nonn

Examples

			1.319507910772894259374001971229640133033469013193418681505807795980535... - _Harry J. Smith_, May 11 2009
		

References

• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Jean-Paul Allouche, Henri Cohen, Michel Mendès France, and Jeffrey O. Shallit, De nouveaux curieux produits infinis, Acta Arithmetica, Vol. 49, No. 2 (1987), pp. 141-153; alternative link.

Crossrefs

Cf. A000120, A003118 (continued fraction).

Programs

Mathematica

RealDigits[N[4^(1/5),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 22 2012 *)

PARI

{ default(realprecision, 20080); x=4^(1/5); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b005533.txt", n, " ", d)); } \\ Harry J. Smith, May 11 2009

Formula

Equals Product_{k>=0} ((2*k+2)/(2*k+1))^((-3/2)^A000120(k)) (Allouche et al., 1987). - Amiram Eldar, Feb 04 2024

Extensions

More terms from Jon E. Schoenfield, Mar 11 2018