Search: id:A009763
Results 1-1 of 1 results found.

%I A009763
%S A009763 1,1,6,76,1620,51780,2310000,136898496,10393064640,982930939200,
%T A009763 113269208976000,15619762139984640,2539231615282602240,
%U A009763 480507998223110457600,104704722014993388288000
%N A009763 a(n) is (n+1)!*(n+2)! times coefficient of x^n in (log(1-x))^-1
%C A009763 Related to `logarithmic numbers'.
%F A009763 log(2*Pi) = 1 + sum{a(n)*(2n+1)/(((n+1)!)^2*n*(n+1)); n>0} = 1.83787706... 
               - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 20 2004
%F A009763 Sum_{n>=0} a(n)/((n+1)*(n+1)!*(n+2)!) = Euler constant gamma = 0.5772156649... 
               - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 26 2004
%o A009763 (PARI) a(n)=local(A); if(n<0,0,n++; A=x/log(1-x+x^2*O(x^n)); n!*(n+1)!*polcoeff(A,
               n))
%Y A009763 a(n)=(n+1)!*(n+2)!*A002206/A002207(n).
%Y A009763 Sequence in context: A030044 A145165 A132613 this_sequence A028979 A082629 
               A154642
%Y A009763 Adjacent sequences: A009760 A009761 A009762 this_sequence A009764 A009765 
               A009766
%K A009763 nonn
%O A009763 0,3
%A A009763 Philippe Deleham, BP 29 Coconi, 97670 Ouangani, Mayotte.
%E A009763 Better description and more terms from Joe Keane (jgk(AT)jgk.org), Aug 
               13 2002

Search completed in 0.003 seconds