Search: id:A001952
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%I A001952 M2534 N1001
%S A001952 3,6,10,13,17,20,23,27,30,34,37,40,44,47,51,54,58,61,64,68,71,75,78,81,
%T A001952 85,88,92,95,99,102,105,109,112,116,119,122,126,129,133,136,139,143,146,
%U A001952 150,153,157,160,163,167,170,174,177,180,184,187,191,194,198,201,204
%N A001952 A Beatty sequence: a(n) = floor[n*(2 + sqrt 2)].
%D A001952 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001952 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001952 L. Carlitz, R. Scoville and V. E. Hoggatt, Jr., Pellian representatives, 
               Fib. Quart., 10 (1972), 449-488.
%D A001952 I. G. Connell, A generalization of Wythoff's game, Canad. Math. Bull., 
               2 (1959), 181-190.
%D A001952 A. S. Fraenkel, How to beat your Wythoff games' opponent on three fronts, 
               Amer. Math. Monthly, 89 (1982), 353-361 (the case a=2).
%D A001952 R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, 
               Reading, MA, 1990, p. 77.
%H A001952 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 A001952 <a href="Sindx_Be.html#Beatty">Index entries for sequences related to 
               Beatty sequences</a>
%t A001952 Table[Floor[n*(2 + Sqrt[2])], {n, 1, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Apr 15 2006
%Y A001952 Complement of A001951. Equals A001951(n)+2*n.
%Y A001952 Cf. A026250.
%Y A001952 A bisection of A094077.
%Y A001952 Sequence in context: A117549 A028433 A080667 this_sequence A145383 A047280 
               A049880
%Y A001952 Adjacent sequences: A001949 A001950 A001951 this_sequence A001953 A001954 
               A001955
%K A001952 nonn,easy,nice
%O A001952 1,1
%A A001952 N. J. A. Sloane (njas(AT)research.att.com).
%E A001952 More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), 
               Apr 15 2006

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