A212298 Decimal expansion of (gamma + log(16))/Pi.

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

Offset: 1

Author

Charles R Greathouse IV, Jul 02 2012

Keywords

• nonn
• cons

Comments

Decimal expansion of c, where G_n = A277233(n)/A056982(n) = c + log(n+1)/Pi - 1/(4 Pi(n+1)) + O(1/n^2). [Corrected by Peter Luschny, Sep 27 2019]

Decimal expansion of c, where G_n = A277233(n)/A056982(n) = c + log(n+3/4)/Pi + O(1/n^2). - Peter Luschny, Sep 27 2019

Examples

			1.06627585320891435434511019661574694675801755603990430667922735157761...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 4.2.1, p. 252.

Links

• G. N. Watson, The constants of Landau and Lebesgue, Quart. J. Math. Oxford Ser. 1:2 (1930), pp. 310-318.

Crossrefs

Cf. A277233/A056982.

Programs

Maple

Digits := 120: ((gamma + 4*log(2))/Pi)*10^94:
ListTools:-Reverse(convert(floor(%), base, 10)); # Peter Luschny, Sep 27 2019

Mathematica

RealDigits[(EulerGamma + Log[16])/Pi, 10, 87][[1]] (* Georg Fischer, Apr 04 2020 *)

PARI

(Euler+log(16))/Pi

Extensions

Definition amended by Georg Fischer, Apr 04 2020