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A006277 a(n) = (a(n-1)+1)*a(n-2).
(Formerly M0888)
+0
2
1, 1, 2, 3, 8, 27, 224, 6075, 1361024, 8268226875, 11253255215681024, 93044467205527772332546875, 1047053135870867396062743192203958743681024 (list; graph; listen)
OFFSET

0,3

REFERENCES

J. L. Davison, J. O. Shallit, Continued Fractions for Some Alternating Series, Monatsh. Math., 111 (1991), 119-126.

S. R. Finch, Mathematical Constants, Cambridge, 2003, Section 6.7.

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

FORMULA

Sum n=0..inf 1/a(n) = 3 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 20 2004

MAPLE

A006277 := proc(n) options remember; if n <= 1 then RETURN(1) else A006277(n-2)*(A006277(n-1)+1); fi; end;

CROSSREFS

Sequence in context: A093858 A080568 A091339 this_sequence A004106 A012886 A078918

Adjacent sequences: A006274 A006275 A006276 this_sequence A006278 A006279 A006280

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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