login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A069986 Denominator of b(n) = binomial(2n,n)^3*(42n+5)/2^(12n+4). 2

%I #11 Apr 29 2022 12:01:29

%S 16,8192,33554432,17179869184,562949953421312,288230376151711744,

%T 1180591620717411303424,604462909807314587353088,

%U 158456325028528675187087900672,81129638414606681695789005144064,332306998946228968225951765070086144

%N Denominator of b(n) = binomial(2n,n)^3*(42n+5)/2^(12n+4).

%H Amiram Eldar, <a href="/A069986/b069986.txt">Table of n, a(n) for n = 0..277</a>

%H Srinivasa Ramanujan, <a href="http://ramanujan.sirinudi.org/Volumes/published/ram06.html">Modular equations and approximations to Pi</a>, Quart. J. Math., Vol. 45 (1914), pp. 350-372. See p. 45, eq. (29).

%F Sum_{n>=0} b(n) = 1/Pi (Ramanujan, 1914).

%t a[n_] := Denominator[Binomial[2 n, n]^3*(42 n + 5)/2^(12 n + 4)]; Array[a, 10, 0] (* _Amiram Eldar_, Apr 29 2022 *)

%Y Cf. A049541, A069985 (numerators).

%K easy,frac,nonn

%O 0,1

%A _Benoit Cloitre_, May 01 2002

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)