|
Search: id:A010145
|
|
|
| A010145 |
|
Continued fraction for sqrt(61). |
|
+0
3
|
|
| 7, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=0,...,20000
A. J. van der Poorten, An introduction to continued fractions
G. Xiao, Contfrac
Index entries for continued fractions for constants
|
|
FORMULA
|
a(n)=(1/605)*{-679*(n mod 11)+201*[(n+1) mod 11]-19*[(n+2) mod 11]-74*[(n+3) mod 11]+91*[(n+4) mod 11]+36*[(n+5) mod 11]-19*[(n+6) mod 11]+146*[(n+7) mod 11]+91*[(n+8) mod 11]-129*[(n+9) mod 11]+751*[(n+10) mod 11]}-7*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 24 2009]
|
|
EXAMPLE
|
7.810249675906654394129722735... = 7 + 1/(1 + 1/(4 + 1/(3 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
|
|
PROGRAM
|
(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(61)); for (n=0, 20000, write("b010145.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
|
|
CROSSREFS
|
Cf. A010514 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 07 2009]
Sequence in context: A010504 A011450 A021018 this_sequence A073008 A105199 A020791
Adjacent sequences: A010142 A010143 A010144 this_sequence A010146 A010147 A010148
|
|
KEYWORD
|
nonn,cofr
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
