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Powers of fourth root of 8 rounded down.
1

%I #12 May 08 2018 21:01:06

%S 1,1,2,4,8,13,22,38,64,107,181,304,512,861,1448,2435,4096,6888,11585,

%T 19483,32768,55108,92681,155871,262144,440871,741455,1246974,2097152,

%U 3526975,5931641,9975792,16777216

%N Powers of fourth root of 8 rounded down.

%H Robert Israel, <a href="/A018066/b018066.txt">Table of n, a(n) for n = 0..4424</a>

%F a(n)^4 <= 8^n < (a(n)+1)^4. - _Robert Israel_, May 08 2018

%p seq(floor(2^(3*k/4)),k=0..100); # _Robert Israel_, May 08 2018

%o (PARI) a(n) = sqrtnint(8^n, 4); \\ _Michel Marcus_, May 08 2018

%Y Cf. A017928 (bisection).

%K nonn

%O 0,3

%A _N. J. A. Sloane_.