login
A212298
Decimal expansion of (gamma + log(16))/Pi.
0
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
LINKS
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
KEYWORD
nonn,cons
AUTHOR
EXTENSIONS
Definition amended by Georg Fischer, Apr 04 2020
STATUS
approved