%I A006277 M0888
%S A006277 1,1,2,3,8,27,224,6075,1361024,8268226875,11253255215681024,
%T A006277 93044467205527772332546875,1047053135870867396062743192203958743681024
%N A006277 a(n) = (a(n-1)+1)*a(n-2).
%D A006277 J. L. Davison, J. O. Shallit, Continued Fractions for Some Alternating 
               Series, Monatsh. Math., 111 (1991), 119-126.
%D A006277 S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 6.7.
%D A006277 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%F A006277 Sum n=0..inf 1/a(n) = 3 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), 
               Jul 20 2004
%p A006277 A006277 := proc(n) options remember; if n <= 1 then RETURN(1) else A006277(n-2)*(A006277(n-1)+1); 
               fi; end;
%Y A006277 Sequence in context: A093858 A080568 A091339 this_sequence A004106 A012886 
               A078918
%Y A006277 Adjacent sequences: A006274 A006275 A006276 this_sequence A006278 A006279 
               A006280
%K A006277 nonn
%O A006277 0,3
%A A006277 N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit