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A006084 Continued fraction for e/3.
(Formerly M4591)
+0
3
0, 1, 9, 1, 1, 1, 5, 1, 1, 1, 1, 26, 1, 1, 3, 5, 1, 3, 1, 1, 44, 1, 1, 5, 5, 1, 5, 1, 1, 62, 1, 1, 7, 5, 1, 7, 1, 1, 80, 1, 1, 9, 5, 1, 9, 1, 1, 98, 1, 1, 11, 5, 1, 11, 1, 1, 116, 1, 1, 13, 5, 1, 13, 1, 1, 134, 1, 1, 15, 5, 1, 15, 1, 1, 152, 1, 1, 17, 5, 1, 17, 1, 1, 170, 1, 1, 19, 5, 1, 19, 1, 1 (list; graph; listen)
OFFSET

1,3

REFERENCES

D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 2, p. 601.

LINKS

G. Xiao, Contfrac

Index entries for continued fractions for constants

FORMULA

First eight terms are 0, 1, 9, 1, 1, 1, 5, 1; then a(9k)=2k-1, a(9k+1)=1, a(9k+2)=1, a(9k+3)=18k+8, a(9k+4)=1, a(9k+5)=1, a(9k+6)=2k+1, a(9k+7)=5, a(9k+8)=1. - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 08 2003

CROSSREFS

Sequence in context: A087968 A110483 A010164 this_sequence A059928 A068452 A010163

Adjacent sequences: A006081 A006082 A006083 this_sequence A006085 A006086 A006087

KEYWORD

nonn,cofr,easy

AUTHOR

njas, Jeffrey Shallit

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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