Search: id:A059558
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%I A059558
%S A059558 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,
%T A059558 96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,156,160,
%U A059558 164,168,172,176,180,184,188,192,196,200,204,208,212,216,220,224,228
%N A059558 Beatty sequence for 1+1/gamma^2.
%C A059558 Also, each entry with two appended 0's corresponds to a terminating-century 
               leap year. - Lekraj Beedassy (blekraj(AT)yahoo.com), Aug 28 2006
%C A059558 The first term where this sequence breaks the progression a(n) = a(n-1) 
               + 4 is a(715) = 2861. - Max Alekseyev, Mar 03 2007
%D A059558 Fraenkel, Aviezri S.; Levitt, Jonathan; and Shimshoni, Michael; Characterization 
               of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), 
               no.4,335-345.
%H A059558 Harry J. Smith, <a href="b059558.txt">Table of n, a(n) for n=1,...,2000</
               a>
%H A059558 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               NonRecursions.html">Non Recursions</a>
%H A059558 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 A059558 <a href="Sindx_Be.html#Beatty">Index entries for sequences related to 
               Beatty sequences</a>
%F A059558 a(n)=8*n-a(n-1)-4 (with a(1)=4) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Nov 24 2009]
%e A059558 For n02, a(2)=8*2-4-4=8; n=3, a(3)=8*3-8-4=12; n=4, a(4)=8*4-12-4=16 
               [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 24 2009]
%o A059558 (PARI) { default(realprecision, 100); b=1 + 1/Euler^2; for (n = 1, 2000, 
               write("b059558.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith 
               (hjsmithh(AT)sbcglobal.net), Jun 28 2009]
%Y A059558 Beatty complement is A059557.
%Y A059558 Sequence in context: A076310 A161352 A008586 this_sequence A008574 A085127 
               A059532
%Y A059558 Adjacent sequences: A059555 A059556 A059557 this_sequence A059559 A059560 
               A059561
%K A059558 nonn,easy,new
%O A059558 1,1
%A A059558 Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001

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