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 A184618 a(n) = floor(n*r + h), where r=sqrt(2) and h=1/3; complement of A184619. 10
 1, 3, 4, 5, 7, 8, 10, 11, 13, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56, 58, 59, 61, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 88, 89, 90, 92, 93, 95, 96, 97 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Sequences of the form (floor(n*r + h)) are sometimes called nonhomogeneous Beatty sequences when h is not zero. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..10000 FORMULA a(n) = floor(n*r + h), where r=sqrt(2), h=1/3. MATHEMATICA r=2^(1/2); h=1/3; s=r/(r-1); Table[Floor[n*r+h], {n, 1, 120}] (* A184618 *) Table[Floor[n*s+h-h*s], {n, 1, 120}] (* A184619 *) PROG (Magma) [Floor(n*Sqrt(2)+1/3): n in [1..80]]; // Vincenzo Librandi, Jul 07 2011 (PARI) a(n)=floor(n*sqrt(2)+1/3) \\ Charles R Greathouse IV, Jul 07 2011 CROSSREFS Cf. A184619. Sequence in context: A039043 A116591 A136119 * A110882 A186499 A187911 Adjacent sequences: A184615 A184616 A184617 * A184619 A184620 A184621 KEYWORD nonn AUTHOR Clark Kimberling, Jan 18 2011 STATUS approved

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Last modified May 29 12:15 EDT 2024. Contains 372940 sequences. (Running on oeis4.)