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A022844 Floor(n*Pi). +0
18
0, 3, 6, 9, 12, 15, 18, 21, 25, 28, 31, 34, 37, 40, 43, 47, 50, 53, 56, 59, 62, 65, 69, 72, 75, 78, 81, 84, 87, 91, 94, 97, 100, 103, 106, 109, 113, 116, 119, 122, 125, 128, 131, 135, 138, 141, 144, 147, 150, 153, 157, 160, 163, 166, 169, 172, 175, 179, 182, 185, 188, 191, 194 (list; graph; listen)
OFFSET

0,2

COMMENT

Beatty sequence for Pi.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to Beatty sequences

FORMULA

a(n)/n converges to pi because |a(n)/n-pi|=|a(n)-n*pi|/n<1/n. - Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jan 22 2006

EXAMPLE

a(7)=21 because 7*Pi=21.9912 and a(8)=25 because 8*Pi=25.1327. a(100000)=314159 because Pi=3.141592...

CROSSREFS

Cf. A054386.

Cf. A038130, A140758, A108591.

Sequence in context: A117124 A071073 A127451 this_sequence A110117 A138252 A102796

Adjacent sequences: A022841 A022842 A022843 this_sequence A022845 A022846 A022847

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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