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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.

A219087 a(n) = floor((n + 1/2)^(4/3)).

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%I A219087 #6 Aug 29 2021 16:02:19
%S A219087 0,1,3,5,7,9,12,14,17,20,22,25,29,32,35,38,42,45,48,52,56,59,63,67,71,
%T A219087 75,79,83,87,91,95,99,103,107,112,116,121,125,130,134,139,143,148,152,
%U A219087 157,162,167,172,176,181,186,191,196,201,206,211,216,221,227
%N A219087 a(n) = floor((n + 1/2)^(4/3)).
%C A219087 a(n) is the number k such that {k^p} < 1/2 < {(k+1)^p}, where p = 3/4 and { } = fractional part.  Equivalently, the jump sequence of f(x) = x^(3/4), in the sense that these are the nonnegative integers k for which round(k^p) < round((k+1)^p).  For details and a guide to related sequences, see A219085.
%H A219087 Clark Kimberling, <a href="/A219087/b219087.txt">Table of n, a(n) for n = 0..10000</a>
%F A219087 a(n) = floor((n + 1/2)^(4/3)).
%t A219087 Table[Floor[(n + 1/2)^(4/3)], {n, 0, 100}]
%Y A219087 Cf.  A219085, A219086.
%K A219087 nonn,easy
%O A219087 0,3
%A A219087 _Clark Kimberling_, Jan 01 2013