A175269 a(n) = floor(2^sqrt(n)) - floor(n^sqrt(2)).

1, 1, 0, -1, -3, -5, -7, -9, -11, -14, -17, -20, -22, -25, -28, -32, -34, -37, -41, -44, -47, -51, -54, -57, -60, -62, -66, -69, -72, -75, -78, -81, -84, -87, -90, -92, -94, -98, -100, -102, -104, -106, -108, -110, -111, -113, -114, -116, -117, -117, -118

Offset: 0

Author

Zak Seidov, Mar 18 2010

Keywords

• sign

Links

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

Crossrefs

Cf. A134886, A175268.

Programs

Magma

[Floor(2^Sqrt(n)) - Floor(n^Sqrt(2)): n in [0..100]]; // G. C. Greubel, Oct 02 2018

Mathematica

Table[Floor[2^Sqrt[n]] - Floor[n^Sqrt[2]], {n, 0, 100}]

PARI

vector(100, n, n--; floor(2^sqrt(n)) - floor(n^sqrt(2))) \\ G. C. Greubel, Oct 02 2018