A011200 Decimal expansion of 6th root of 5.

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

Offset

1,2

Links

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

Amrik Singh Nimbran, Interesting infinite products of rational functions motivated by Euler, Math. Student, Vol. 85 (2016), pp. 117-133; ResearchGate link.

Index entries for algebraic numbers, degree 6.

Formula

Equals Product_{k>=1} (3*k-2)*(30*k-25)^2*(30*k-5)^2/((3*k-1)*(30*k-28)*(30*k-22)*(30*k-16)*(30*k-4)) (Nimbran, 2016, p. 131, eq. (66)). - Amiram Eldar, Jun 28 2026

Mathematica

RealDigits[Surd[5, 6], 10, 120][[1]] (* Harvey P. Dale, Jul 16 2013 *)

Prog

(PARI) sqrtn(5, 6) \\ Charles R Greathouse IV, Aug 26 2017

Crossrefs

Cf. A011201 ... A011214 (other roots of 5), A011215 ... A011439 (n-th roots of 6, ..., 20) ; A011440 ... A011519 (n-th root of n = 21, ..., 100).

Sequence in context: A155831 A106401 A332329 * A201573 A021329 A244809

Adjacent sequences: A011197 A011198 A011199 * A011201 A011202 A011203

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved