OFFSET
0,3
COMMENTS
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.
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..10000
FORMULA
a(n) = floor((n + 1/2)^(4/3)).
MATHEMATICA
Table[Floor[(n + 1/2)^(4/3)], {n, 0, 100}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jan 01 2013
STATUS
approved