A246722 Decimal expansion of Hermite's constant gamma_7 = 2^(6/7).

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

Offset

1,2

Comments

Also seventh root of 64. - Alonso del Arte, Feb 07 2015

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.7 Hermite's Constants, p. 507.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, p. 62.

Formula

Equals Product_{k>=0} (1 + (-1)^k/(7*k + 1)). - Amiram Eldar, Jul 29 2020

Example

1.81144732852781334318834574643020637540089176251587471...

Mathematica

RealDigits[2^(6/7), 10, 103] // First

Prog

(PARI) sqrtn(64, 7) \\ Michel Marcus, Feb 08 2015

Crossrefs

Cf. A222071 (Hermite's delta_7), A011149, A005480.

Sequence in context: A128881 A154015 A300727 * A197492 A153621 A159822

Adjacent sequences: A246719 A246720 A246721 * A246723 A246724 A246725

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Sep 02 2014

Status

approved