cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A212298 #19 Dec 11 2024 15:40:19
%S A212298 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,
%T A212298 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,
%U A212298 1,2,7,0,6,8,8,5,9,8,2,8,7,1,2,5,0,4,4
%N A212298 Decimal expansion of (gamma + log(16))/Pi.
%C A212298 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]
%C A212298 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
%D A212298 Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 4.2.1, p. 252.
%H A212298 G. N. Watson, <a href="http://qjmath.oxfordjournals.org/content/os-1/1/310.extract">The constants of Landau and Lebesgue</a>, Quart. J. Math. Oxford Ser. 1:2 (1930), pp. 310-318.
%e A212298 1.06627585320891435434511019661574694675801755603990430667922735157761...
%p A212298 Digits := 120: ((gamma + 4*log(2))/Pi)*10^94:
%p A212298 ListTools:-Reverse(convert(floor(%), base, 10)); # _Peter Luschny_, Sep 27 2019
%t A212298 RealDigits[(EulerGamma + Log[16])/Pi, 10, 87][[1]] (* _Georg Fischer_, Apr 04 2020 *)
%o A212298 (PARI) (Euler+log(16))/Pi
%Y A212298 Cf. A277233/A056982.
%K A212298 nonn,cons
%O A212298 1,3
%A A212298 _Charles R Greathouse IV_, Jul 02 2012
%E A212298 Definition amended by _Georg Fischer_, Apr 04 2020