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A242910 Decimal expansion of exp(sqrt(Pi/24)). 4
1, 4, 3, 5, 9, 1, 2, 6, 3, 1, 6, 1, 1, 7, 7, 3, 1, 2, 4, 7, 7, 2, 2, 4, 7, 2, 4, 0, 2, 8, 9, 9, 6, 5, 4, 5, 0, 5, 9, 0, 9, 4, 3, 5, 6, 3, 2, 5, 6, 1, 1, 3, 1, 4, 6, 6, 8, 0, 0, 5, 8, 1, 9, 4, 7, 3, 5, 0, 3, 2, 5, 4, 8, 0, 4, 2, 8, 4, 7, 9, 0, 6, 1, 6, 2, 1, 3, 1, 8, 5, 4, 5, 7, 8, 0, 1, 7, 5, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 3.10 Kneser-Mahler polynomial constants p. 234.
LINKS
C. J. Smyth, On measures of polynomials in several variables, Bulletin of the Australian Mathematical Society, Volume 23 (1981), Issue 01.
FORMULA
Lim_(m->infinity) M(z_1 + (1 + z_2)*(1 + z_3)*...*(1 + z_m))^(1/sqrt(m)), where M is Mahler's measure for multivariate polynomials.
EXAMPLE
1.43591263161177312477224724028996545059...
MAPLE
Digits:=100: evalf(exp(sqrt(Pi/24))); # Wesley Ivan Hurt, Jan 09 2017
MATHEMATICA
RealDigits[Exp[Sqrt[Pi/24]], 10, 100] // First
PROG
(PARI) exp(sqrt(Pi/24)) \\ G. C. Greubel, Jan 09 2017
CROSSREFS
Sequence in context: A299323 A010475 A256367 * A200350 A227684 A200636
KEYWORD
nonn,cons
AUTHOR
STATUS
approved

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