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 A003511 A Beatty sequence: floor( n * (1 + sqrt(3))/2 ). (Formerly M0946) 13
 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 56, 57, 58, 60, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81, 83, 84, 86, 87, 88, 90, 91, 92, 94, 95, 96 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Matthew House, Table of n, a(n) for n = 1..10000 Aviezri S. Fraenkel, Iterated floor function, algebraic numbers, discrete chaos, Beatty subsequences, semigroups, Transactions of the American Mathematical Society 341.2 (1994): 639-664. Aviezri S. Fraenkel, Jonathan Levitt, Michael Shimshoni, Characterization of the set of values f(n)=[n alpha], n=1,2,..., Discrete Math. 2 (1972), no. 4, 335-345. Eric Weisstein's World of Mathematics, Beatty Sequence. FORMULA a(n) = floor(n*(1+sqrt(3))/2). - Michel Marcus, Jan 05 2015 MAPLE for n from 1 to 200 do printf(`%d, `, floor(n*(1 + sqrt(3))/2 )) od: CROSSREFS Cf. A003512 (complement). Sequence in context: A079709 A285496 A247778 * A059567 A006594 A172276 Adjacent sequences:  A003508 A003509 A003510 * A003512 A003513 A003514 KEYWORD nonn AUTHOR EXTENSIONS More terms from James A. Sellers, Feb 19 2001 STATUS approved

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Last modified June 24 05:53 EDT 2021. Contains 345416 sequences. (Running on oeis4.)