cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A018066 Powers of fourth root of 8 rounded down.

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%I A018066 #24 May 30 2025 10:24:26
%S A018066 1,1,2,4,8,13,22,38,64,107,181,304,512,861,1448,2435,4096,6888,11585,
%T A018066 19483,32768,55108,92681,155871,262144,440871,741455,1246974,2097152,
%U A018066 3526975,5931641,9975792,16777216,28215801,47453132,79806338
%N A018066 Powers of fourth root of 8 rounded down.
%H A018066 Robert Israel, <a href="/A018066/b018066.txt">Table of n, a(n) for n = 0..4424</a>
%F A018066 a(n)^4 <= 8^n < (a(n)+1)^4. - _Robert Israel_, May 08 2018
%p A018066 seq(floor(2^(3*k/4)),k=0..100); # _Robert Israel_, May 08 2018
%t A018066 Table[Floor[(8^(1/4))^n],{n,0,35}] (* _Vincenzo Librandi_, May 29 2025 *)
%o A018066 (PARI) a(n) = sqrtnint(8^n, 4); \\ _Michel Marcus_, May 08 2018
%o A018066 (Magma)  [Floor((8^(1/4))^n) : n in [0..35]]; // _Vincenzo Librandi_, May 29 2025
%Y A018066 Cf. A017928 (bisection).
%K A018066 nonn
%O A018066 0,3
%A A018066 _N. J. A. Sloane_