Search: id:A059557
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%I A059557
%S A059557 1,2,3,5,6,7,9,10,11,13,14,15,17,18,19,21,22,23,25,26,27,29,30,31,33,
%T A059557 34,35,37,38,39,41,42,43,45,46,47,49,50,51,53,54,55,57,58,59,61,62,63,
%U A059557 65,66,67,69,70,71,73,74,75,77,78,79,81,82,83,85,86,87,89,90,91,93,94
%N A059557 Beatty sequence for 1+gamma^2, (gamma is the Euler-Mascheroni constant 
               A001620).
%D A059557 Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization 
               of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), 
               no.4,335-345.
%H A059557 Harry J. Smith, <a href="b059557.txt">Table of n, a(n) for n=1,...,2000</
               a>
%H A059557 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               BeattySequence.html">Link to a section of The World of Mathematics.</
               a>
%H A059557 <a href="Sindx_Be.html#Beatty">Index entries for sequences related to 
               Beatty sequences</a>
%F A059557 a(n)=A042968(n-1), 1<=n<2146. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Oct 05 2008]
%o A059557 (PARI) { default(realprecision, 100); b=1 + Euler^2; for (n = 1, 2000, 
               write("b059557.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith 
               (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
%Y A059557 Beatty complement is A059558.
%Y A059557 Sequence in context: A059531 A039053 A042968 this_sequence A048103 A092418 
               A004195
%Y A059557 Adjacent sequences: A059554 A059555 A059556 this_sequence A059558 A059559 
               A059560
%K A059557 nonn,easy
%O A059557 1,2
%A A059557 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001

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