A017937 Powers of sqrt(11) rounded down.

1, 3, 11, 36, 121, 401, 1331, 4414, 14641, 48558, 161051, 534145, 1771561, 5875603, 19487171, 64631634, 214358881, 710947978, 2357947691, 7820427766, 25937424601, 86024705429, 285311670611

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..900

Crossrefs

Cf. A010468 (sqrt(11)).

Programs

Magma

[Floor(Sqrt(11^n)): n in [0..30]]; // Vincenzo Librandi, Jun 24 2011

Mathematica

Floor[(Sqrt[11])^Range[0,30]] (* Harvey P. Dale, Feb 01 2014 *)

PARI

a(n)=sqrtint(11^n) \\ Charles R Greathouse IV, Nov 18 2011

Formula

a(n) = floor(sqrt(11^n)). - Vincenzo Librandi, Jun 24 2011