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

1,3

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

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

Table of n, a(n) for n=1..87.

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

Example

1.06627585320891435434511019661574694675801755603990430667922735157761...

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 *)

Prog

(PARI) (Euler+log(16))/Pi

Crossrefs

Cf. A277233/A056982.

Sequence in context: A003676 A369508 A033259 * A064926 A285814 A154006

Adjacent sequences: A212295 A212296 A212297 * A212299 A212300 A212301

Keyword

nonn,cons

Author

Charles R Greathouse IV, Jul 02 2012

Extensions

Definition amended by Georg Fischer, Apr 04 2020

Status

approved