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 A054406 Beatty sequence for (3+sqrt 3)/2; complement of A022838. 29
 2, 4, 7, 9, 11, 14, 16, 18, 21, 23, 26, 28, 30, 33, 35, 37, 40, 42, 44, 47, 49, 52, 54, 56, 59, 61, 63, 66, 68, 70, 73, 75, 78, 80, 82, 85, 87, 89, 92, 94, 97, 99, 101, 104, 106, 108, 111, 113, 115, 118, 120, 123, 125, 127, 130, 132, 134, 137, 139, 141, 144, 146 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers k such that A194979(k+1) = A194979(k). - Clark Kimberling, Dec 02 2014 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 Clark Kimberling, Beatty sequences and trigonometric functions, Integers 16 (2016), #A15. Eric Weisstein's World of Mathematics, Beatty Sequence MAPLE A054406 := proc(n) n*(3+sqrt(3))/2 ; floor(%) ; end proc: # R. J. Mathar, Feb 26 2011 MATHEMATICA a054406[n_Integer] := Floor[# (3 + Sqrt[3])/2] & /@ Range[n]; a054406[62] (* Michael De Vlieger, Dec 14 2014 *) PROG (Magma) [Floor(n*(3+Sqrt(3))/2): n in [1..70]]; // Vincenzo Librandi, Oct 25 2011 (PARI) is(n)=sqrtint((n+1)^2\3)==sqrtint(n^2\3) \\ Charles R Greathouse IV, Nov 01 2021 CROSSREFS Cf. A194143 (partial sums), A182778 (even bisection), A184799 (prime terms). Cf. A022838 (complement), A026255. Cf. A194979. Sequence in context: A024812 A047349 A329842 * A292647 A356085 A307645 Adjacent sequences: A054403 A054404 A054405 * A054407 A054408 A054409 KEYWORD nonn AUTHOR STATUS approved

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Last modified November 30 11:34 EST 2022. Contains 358441 sequences. (Running on oeis4.)