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Search: id:A006277
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| A006277 |
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a(n) = (a(n-1)+1)*a(n-2). (Formerly M0888)
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+0 2
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| 1, 1, 2, 3, 8, 27, 224, 6075, 1361024, 8268226875, 11253255215681024, 93044467205527772332546875, 1047053135870867396062743192203958743681024
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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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.
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FORMULA
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Sum n=0..inf 1/a(n) = 3 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 20 2004
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MAPLE
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A006277 := proc(n) options remember; if n <= 1 then RETURN(1) else A006277(n-2)*(A006277(n-1)+1); fi; end;
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CROSSREFS
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Sequence in context: A093858 A080568 A091339 this_sequence A004106 A012886 A078918
Adjacent sequences: A006274 A006275 A006276 this_sequence A006278 A006279 A006280
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KEYWORD
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nonn
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AUTHOR
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njas, Jeffrey Shallit
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