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

0,3

Links

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

Formula

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

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 *)

Prog

(PARI) a(n) = sqrtnint(8^n, 4); \\ Michel Marcus, May 08 2018
(Magma)  [Floor((8^(1/4))^n) : n in [0..35]]; // Vincenzo Librandi, May 29 2025

Crossrefs

Cf. A017928 (bisection).

Sequence in context: A164411 A164443 A074467 * A164509 A164415 A233274

Adjacent sequences: A018063 A018064 A018065 * A018067 A018068 A018069

Keyword

nonn

Author

N. J. A. Sloane

Status

approved