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, 264, 270, 274

Offset

1,1

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Beatty sequences

Formula

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

Mathematica

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

Prog

(PARI) a(n) = 2*(n+sqrtint(2*n^2)) \\ G. C. Greubel, Sep 08 2018
(Magma) [2*(n + Floor(n*Sqrt(2))): n in [1..100]]; // G. C. Greubel, Sep 08 2018

Crossrefs

Sequence in context: A312548 A312549 A312550 * A312551 A312552 A189396

Adjacent sequences: A022801 A022802 A022803 * A022805 A022806 A022807

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved