A018066 Powers of fourth root of 8 rounded down.

1, 1, 2, 4, 8, 13, 22, 38, 64, 107, 181, 304, 512, 861, 1448, 2435, 4096, 6888, 11585, 19483, 32768, 55108, 92681, 155871, 262144, 440871, 741455, 1246974, 2097152, 3526975, 5931641, 9975792, 16777216, 28215801, 47453132, 79806338

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..4424

Crossrefs

Cf. A017928 (bisection).

Programs

Magma

[Floor((8^(1/4))^n) : n in [0..35]]; // Vincenzo Librandi, May 29 2025

Maple

seq(floor(2^(3*k/4)),k=0..100); # Robert Israel, May 08 2018

Mathematica

Table[Floor[(8^(1/4))^n],{n,0,35}] (* Vincenzo Librandi, May 29 2025 *)

PARI

a(n) = sqrtnint(8^n, 4); \\ Michel Marcus, May 08 2018

Formula

a(n)^4 <= 8^n < (a(n)+1)^4. - Robert Israel, May 08 2018