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A059544 Beatty sequence for log(3)/(log(3)-1). 2

%I #20 Feb 10 2019 11:51:47

%S 11,22,33,44,55,66,77,89,100,111,122,133,144,155,167,178,189,200,211,

%T 222,233,245,256,267,278,289,300,311,323,334,345,356,367,378,389,401,

%U 412,423,434,445,456,467,479,490,501,512,523,534,545,557,568,579,590

%N Beatty sequence for log(3)/(log(3)-1).

%H Harry J. Smith, <a href="/A059544/b059544.txt">Table of n, a(n) for n = 1..2000</a>

%H Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, <a href="http://dx.doi.org/10.1016/0012-365X(72)90012-X">Characterization of the set of values f(n)=[n alpha], n=1,2,...</a>, Discrete Math. 2 (1972), no.4, 335-345.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence.</a>

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

%F a(n) = floor(n*log(3)/(log(3)-1)). - _Michel Marcus_, Jan 05 2015

%t With[{c=Log[3]/(Log[3]-1)},Floor[c #]&/@Range[60]] (* _Harvey P. Dale_, Feb 10 2019 *)

%o (PARI) { default(realprecision, 100); b=log(3)/(log(3) - 1); for (n = 1, 2000, write("b059544.txt", n, " ", floor(n*b)); ) } \\ _Harry J. Smith_, Jun 28 2009

%Y Beatty complement is A059543.

%K nonn,easy

%O 1,1

%A _Mitch Harris_, Jan 22 2001

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)