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A006277
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a(n) = (a(n-1)+1)*a(n-2).
(Formerly M0888)
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2
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1, 1, 2, 3, 8, 27, 224, 6075, 1361024, 8268226875, 11253255215681024, 93044467205527772332546875, 1047053135870867396062743192203958743681024, 97422501162981936223682742789520433197690551802305989766350860546875
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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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).
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FORMULA
| Sum n=0..inf 1/a(n) = 3 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Jul 20 2004
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MAPLE
| 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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MATHEMATICA
| a=b=1; lst={a, b}; Do[AppendTo[lst, c=a*b+a]; a=b; b=c, {n, 0, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 06 2010]
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CROSSREFS
| Sequence in context: A093858 A080568 A091339 * A186927 A177010 A004106
Adjacent sequences: A006274 A006275 A006276 * A006278 A006279 A006280
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit
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EXTENSIONS
| More terms from Vladimir Orlovsky (4vladimir(AT)gmail.com), May 06 2010
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