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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 January 27 04:57 EST 2020. Contains 331291 sequences. (Running on oeis4.)