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
Examples
1.81144732852781334318834574643020637540089176251587471...
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.
Programs
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Mathematica
RealDigits[2^(6/7), 10, 103] // First
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PARI
sqrtn(64, 7) \\ Michel Marcus, Feb 08 2015
Formula
Equals Product_{k>=0} (1 + (-1)^k/(7*k + 1)). - Amiram Eldar, Jul 29 2020
Comments