|
%I #2 Mar 31 2012 13:20:12
%S 1,16,128,4096,32768,524288,4194304,268435456,2147483648,34359738368,
%T 274877906944,8796093022208,70368744177664,1125899906842624,
%U 9007199254740992,1152921504606846976
%N Denominators of partial sums of Catalan numbers scaled by powers of 1/16.
%C Numerators are given under A120784.
%C The listed numbers coincide with the denominators of sum(C(k)/(-16)^k,k=0..n). For the numerators see A120794. In general these denominators may be different. See e.g. A120783 versus A120793 and A120787 versus A120796.
%C Also one fourth of denominators of partial sums for sqrt(2)+sqrt(3). See A121503 for the numerators.
%F a(n)=denominator(r(n)), with the rationals r(n):=sum(C(k)/16^k,k=0..n) with C(k):=A000108(k) (Catalan numbers).
%K nonn,easy,frac
%O 0,2
%A _Wolfdieter Lang_, Jul 20 2006
|
