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A183138
a(n) = floor(n/(2+sqrt(2))).
2
0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20
OFFSET
1,7
COMMENTS
A083051(n) = 2*n+1 + floor(n*sqrt(2)) is the location of the least k for which a(k)=n.
LINKS
FORMULA
a(n) = floor(n/(2+sqrt(2))).
MATHEMATICA
With[{c=2+Sqrt[2]}, Table[Floor[n/c], {n, 80}]] (* Harvey P. Dale, Jun 21 2017 *)
PROG
(PARI) for(n=1, 100, print1(floor(n/(2+sqrt(2))), ", ")) \\ G. C. Greubel Apr 10 2018
(Magma) [Floor(n/(2+Sqrt(2))): n in [1..100]]; // G. C. Greubel, Apr 10 2018
CROSSREFS
Cf. A183140. Beatty sequence of A268682.
Sequence in context: A057356 A172274 A350843 * A020913 A025787 A057810
KEYWORD
nonn
AUTHOR
Clark Kimberling, Dec 26 2010
STATUS
approved