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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

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

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.

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

Adjacent sequences: A006274 A006275 A006276 this_sequence A006278 A006279 A006280

Sequence in context: A093858 A080568 A091339 this_sequence A004106 A012886 A078918

KEYWORD

nonn

AUTHOR

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

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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