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 A219087 Floor((n + 1/2)^(4/3)]). 2
 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, 75, 79, 83, 87, 91, 95, 99, 103, 107, 112, 116, 121, 125, 130, 134, 139, 143, 148, 152, 157, 162, 167, 172, 176, 181, 186, 191, 196, 201, 206, 211, 216, 221, 227 (list; graph; refs; listen; history; text; internal format)
 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) = [(n + 1/2)^(4/3)]. MATHEMATICA Table[Floor[(n + 1/2)^(4/3)], {n, 0, 100}] CROSSREFS Cf.  A219085, A219086. Sequence in context: A082767 A047932 A139130 * A186705 A072154 A309269 Adjacent sequences:  A219084 A219085 A219086 * A219088 A219089 A219090 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jan 01 2013 STATUS approved

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Last modified June 19 09:23 EDT 2021. Contains 345126 sequences. (Running on oeis4.)