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A007704 a(n+2) = (a(n) - 1)a(n+1) + 1.
(Formerly M0594)
1

%I M0594

%S 2,3,4,9,28,225,6076,1361025,8268226876,11253255215681025,

%T 93044467205527772332546876,

%U 1047053135870867396062743192203958743681025

%N a(n+2) = (a(n) - 1)a(n+1) + 1.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H J. L. Davison, Jeffrey Shallit, <a href="http://dx.doi.org/10.1007/BF01332350">Continued Fractions for Some Alternating Series</a>, Monatsh. Math., 111 (1991), 119-126.

%F a(n) = A006277(n) + 1. - _R. J. Mathar_, Apr 27 2007

%p A007704 := proc(n) options remember; if n <= 2 then RETURN(n+1) else (A007704(n-2)-1)*A007704(n-1)+1; fi; end;

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, _Jeffrey Shallit_

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Last modified December 7 21:13 EST 2016. Contains 278895 sequences.