Search: id:A002984
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%I A002984 M0554
%S A002984 1,2,3,4,6,8,10,13,16,20,24,28,33,38,44,50,57,64,72,80,88,97,106,116,
%T A002984 126,137,148,160,172,185,198,212,226,241,256,272,288,304,321,338,356,
%U A002984 374,393,412,432,452,473,494,516,538,561,584,608,632,657,682,708,734
%N A002984 a(0) = 1; for n>0, a(n) = a(n-1) + [ sqrt a(n-1) ].
%C A002984 For n>3 we have a(n) < n^2/4 and for n>44 we have a(n) > n^2/5. - Stefan 
               Steinerberger (stefan.steinerberger(AT)gmail.com), Apr 17 2006
%C A002984 This sequence contains an infinity of squares . [From Philippe DELEHAM 
               (kolotoko(AT)wanadoo.fr), Apr 03 2009]
%D A002984 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002984 T. D. Noe, <a href="b002984.txt">Table of n, a(n) for n=0..1000</a>
%t A002984 NestList[ # + Floor[ Sqrt[ # ] ] &, 1, 50 ]
%Y A002984 Sequence in context: A008748 A089649 A049700 this_sequence A109965 A008669 
               A055104
%Y A002984 Adjacent sequences: A002981 A002982 A002983 this_sequence A002985 A002986 
               A002987
%K A002984 nonn,easy,nice
%O A002984 0,2
%A A002984 N. J. A. Sloane (njas(AT)research.att.com).
%E A002984 More terms from Larry Reeves (larryr(AT)acm.org), Dec 14 2000

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