A091087 a(n) = floor(r*n) + floor(n/r), where r=sqrt(2).

0, 1, 3, 6, 7, 10, 12, 13, 16, 18, 21, 22, 24, 27, 28, 31, 33, 36, 37, 39, 42, 43, 46, 48, 49, 52, 54, 57, 58, 61, 63, 64, 67, 69, 72, 73, 75, 78, 79, 82, 84, 85, 88, 90, 93, 94, 97, 99, 100, 103, 105, 108, 109, 111, 114, 115, 118, 120, 123, 124, 126, 129, 130, 133, 135

Offset: 0

Author

Clark Kimberling, Dec 18 2003

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A049473.

Programs

Magma

[Floor(n*Sqrt(2)) + Floor(n/Sqrt(2)): n in [0..100]]; // G. C. Greubel, Sep 27 2018

Mathematica

Table[Floor[n*Sqrt[2]] + Floor[n/Sqrt[2]], {n, 0, 100}] (* G. C. Greubel, Sep 27 2018 *)

PARI

vector(100, n, n--; floor(n*sqrt(2)) + floor(n/sqrt(2))) \\ G. C. Greubel, Sep 27 2018