Search: id:A095823
Results 1-1 of 1 results found.

%I A095823
%S A095823 1,4,18,32,600,4320,11760,322560,3265920,1728000,439084800,821145600,
%T A095823 817689600,1220496076800,19615115520000,111588212736000,863812325376000,
%U A095823 115242726703104000,15722836107264000,3742926166425600000
%N A095823 Denominators of certain upper bounds for Euler's number e.
%C A095823 For the numerators see A095822.
%C A095823 e:=sum(1/k!,k=0..infty) has (trivial) upper bound r(n):= A095822(n)/a(n), 
               for every n>=1. See the W. Lang link.
%D A095823 M. Barner and F. Flohr, Analysis I, de Gruyter, 5te Auflage, 2000; pp. 
               117/8.
%D A095823 E. Kuz'min and A. I. Shirshov: On the number e, pp. 111-119, eq.(6), 
               in: Kvant Selecta: Algebra and Analysis, I, ed. S. Tabachnikov, Am.Math.Soc., 
               1999
%H A095823 W. Lang, <a href="http://www-itp.physik.uni-karlsruhe.de/~wl/EISpub/A095822.text">
               r(n) numbers and comments</a>.
%F A095823 a(n)= denominator(r(n)), with rational r(n):= sum(1/k!, k=0..n) + 1/(n*n!), 
               n>=1, written in lowest terms. For n*n! see A001563(n).
%e A095823 The positive rationals r(n), n>=1: 3/1, 11/4, 49/18, 87/32, 1631/600, 
               11743/4320, 31967/11760, ...
%Y A095823 Sequence in context: A130656 A053191 A003474 this_sequence A092116 A083969 
               A110621
%Y A095823 Adjacent sequences: A095820 A095821 A095822 this_sequence A095824 A095825 
               A095826
%K A095823 nonn,easy,frac
%O A095823 1,2
%A A095823 Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), 
               Jun 11 2004

Search completed in 0.001 seconds