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A183142
Beatty sequence for 2/(3+sqrt(3)).
3
0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30
OFFSET
1,5
COMMENTS
A097337 (B.s. for 1/sqrt(3)) + A183142 = A001477 (the nonnegative integers).
FORMULA
a(n) = floor(2*n/(3+sqrt(3))).
MATHEMATICA
With[{s=(3+Sqrt[3])/2}, Floor[Range[100]/s]] (* Harvey P. Dale, Feb 15 2016 *)
PROG
(PARI) default(realprecision, 100); s=(3+sqrt(3))/2; for(n=1, 99, print1(floor(n/s), ", "))
CROSSREFS
Cf. A097337.
Sequence in context: A224921 A225370 A114540 * A121830 A020911 A336861
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 26 2010
EXTENSIONS
Definition modified and offset changed to 1 by Georg Fischer, Jul 09 2021
STATUS
approved