A242910 Decimal expansion of exp(sqrt(Pi/24)).

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

Offset: 1

Author

Jean-François Alcover, May 26 2014

Keywords

• nonn
• cons

Examples

			1.43591263161177312477224724028996545059...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 3.10 Kneser-Mahler polynomial constants p. 234.

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• C. J. Smyth, On measures of polynomials in several variables, Bulletin of the Australian Mathematical Society, Volume 23 (1981), Issue 01.

Crossrefs

Cf. A242908, A242909.

Programs

Maple

Digits:=100: evalf(exp(sqrt(Pi/24))); # Wesley Ivan Hurt, Jan 09 2017

Mathematica

RealDigits[Exp[Sqrt[Pi/24]], 10, 100] // First

PARI

exp(sqrt(Pi/24)) \\ G. C. Greubel, Jan 09 2017

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.