A022804 a(n) = B(n) + c(n) where B(n) is Beatty sequence [ n*sqrt(2) ] and c is the complement of B.

4, 8, 14, 18, 24, 28, 32, 38, 42, 48, 52, 56, 62, 66, 72, 76, 82, 86, 90, 96, 100, 106, 110, 114, 120, 124, 130, 134, 140, 144, 148, 154, 158, 164, 168, 172, 178, 182, 188, 192, 196, 202, 206, 212, 216, 222, 226, 230, 236, 240, 246, 250, 254, 260

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to Beatty sequences

Programs

Magma

[2*(n + Floor(n*Sqrt(2))): n in [1..100]]; // G. C. Greubel, Sep 08 2018

Mathematica

Table[2 n + 2 Floor[n*Sqrt[2]], {n, 1, 200}]

PARI

vector(100, n, 2*(n+floor(n*sqrt(2)))) \\ G. C. Greubel, Sep 08 2018

Formula

a(n) = 2*A003151(n) = 2*(n + floor(n*sqrt(2))).