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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
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
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.)