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A246722 Decimal expansion of Hermite's constant gamma_7 = 2^(6/7). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified May 20 19:00 EDT 2024. Contains 372720 sequences. (Running on oeis4.)